if you want to remove an article from website contact us from top.

    the perimeter of a rectangle is 48 meters, and its area is 135 m2. the sides of the rectangle are


    Guys, does anyone know the answer?

    get the perimeter of a rectangle is 48 meters, and its area is 135 m2. the sides of the rectangle are from screen.

    A rectangle has a perimeter of 48m and area 135 . Find the dimensions of the rectangle.

    A rectangle has a perimeter of 48m and area 135 . Find the dimensions of the rectangle.

    ALGEBRA 1 Natalie N. asked • 08/30/20

    A rectangle has a perimeter of 48m and area 135 . Find the dimensions of the rectangle.

    I don't understand at all, I need an explanation.

    Follow 1 Add comment More

    3 Answers By Expert Tutors


    Dylan B. answered • 08/30/20

    TUTOR New to Wyzant

    Math made easy!


    Rectangles have two dimensions, a length which we will call L, and a width that we will call W. For problems like this, it might be useful to draw a rectangle and label all its sides, like below:



    | |

    | |

    L | | L

    | |

    | |



    Because these values are unknown right now, we have two variables, L and W. To solve for any number of variables, you'll need at least the same number of independent equations, which means we need to write two equations to be able to find L and W. Your question gives us two important pieces of info: the perimeter is equal to 48, and the area is equal to 135. Let's use this info to write our two equations.

    The perimeter of a shape is the length of its outline. To get the perimeter of a rectangle, you'll add up the length of all its sides. To write our perimeter, P in math terms, it could look like this:

    P = W + L + W + L = 2W + 2L

    Because our perimeter is equal to 48, we can say:

    P = 2W + 2L 48 = 2W + 2L

    Now let's use our area equation. The area of a shape is the amount of space contained in its outline. To get our area, A you need to multiply a rectangle's length by its width, like below:

    A = LW

    Because we know our area is 135, we can also say:

    A = LW 135 = LW

    Now we have two equations with two variables, L and W. To be able to solve for a variable, you need to use one equation to solve what a variable is equal to in terms of the other, then use the second equation to rewrite everything in terms of one variable. To write this in math terms, let's start with the second equation and solve for W:

    135 = LW W = 135/L

    Now we know what W is equal to in terms of L. We can use this in the first equation to get:

    48 = 2W + 2L = 2(135/L) + 2L

    = 270/L + 2L. Because we're dividing 270/L, let's multiply everything by L so there are no fractions

    48L = 270 + 2L2. Now because we have L2, L, and a number without L, we have what's called a quadratic. You can solve these by moving everything to one side. I prefer to keep the L2 part positive, so let's subtract both sides by 48L.

    48L = 270 + 2L2 0 = 270 + 2L2 - 48L

    2L2 - 48L + 270 = 0. This is the most common way to write a quadratic, with the variable squared part first, the variable part, then the number without the variable.

    Now you can solve a quadratic two ways, either by factoring or using the quadratic formula. The most direct way would be to use the quadratic formula. The quadratic formula is given below:

    L = [-b ± √(b2 - 4ac)] / 2a

    Here, our variable is L instead of x, and our equation is 2L2 - 48L + 270, so

    a = 2 b = -48 c = 270

    Plug these numbers into the quadratic formula to get:

    L = [-(-48) ± √((-48)2 - 4(2)(270))] / 2(2)

    = [48 ± √(2304 - 2160)] / 4

    = [48 ± √(144)] / 4 = (48 ± 12) / 4 = 48/4 ± 12/4 = 12 ± 3

    For our last step, we have a ±, which tells us we have two answers: 12 + 3, and 12 - 3. Knowing this, we have L = 15, and L = 9.

    Now we have take both of these values, and plug them into our area equation to get a corresponding W. For L = 15,

    A = LW 135 = (15)W W = 135/15 = 9 For L = 9, A = LW 135 = (9)W W = 135/9 = 15

    So if L = 15, W = 9, and if L = 9, W = 15. Notice these make the same rectangle, so you could probably just choose one of these for your answer.

    Upvote 1 Downvote Add comment More

    Arjun R. answered • 08/30/20

    TUTOR 4.9 (34)

    Experienced STEM Tutor Specializing in Chemistry, Physics, & Calculus


    the perimeter of a rectangle I given by P = 2*L + 2*W where P is perimeter, L is length, and W is width

    the area of a rectangle is given by A = L*W

    here we have 48m = 2L + 2W and 135 = L*W ...

    48 = 2*(L+W) 24 = (L + W) L = 24 - W

    now we can plugin L in terms of W into our are equation and solve for W...

    135 = L*W 135 = (24 - W)*W 135 = 24W -W2 W2 - 24W + 135 = 0

    use the quadratic formula to solve for W...

    W = [24 ± sqrt((-24)2 - 4(1)(135)] / 2

    W = 9 or 15

    since L = 24 - W, L = 24-9 = 15 or L = 24-15 = 9

    the side lengths of the rectangle measure 9m and 15m.

    Upvote 0 Downvote Add comment More

    Tom K. answered • 08/30/20

    TUTOR 4.9 (94)

    Knowledgeable and Friendly Math and Statistics Tutor


    The perimeter of a rectangle is 2(l + w). The area is lw.

    स्रोत : www.wyzant.com

    If perimeter of a rectangle is 48 metres and its area is \( \Large 135 m^{2} \), then sides of the rectangle are

    If perimeter of a rectangle is 48 metres and its area is \( \Large 135 m^{2} \), then sides of the rectangle are

    Quadrilateral and parallelogram

    If perimeter of a rectangle is 48 metres and its area is

    135 m 2 135m2

    , then sides of the rectangle are

    A) 15 m, 9 m B) 19 m, 5 m C) 45 m, 3 m D) 27 m, 5 m Correct Answer: A) 15 m, 9 m

    Description for Correct answer:

    Let sides of the rectangle are x and y meters

    By hypothesis, 2(x+y)=48 2(x+y)=48 => x+y=24 x+y=24 => x=24−y x=24−y ...(i) and xy=135 xy=135 ...(ii)

    From equations (i) and (ii), we get

    (24−y)y=135 (24−y)y=135 => 24y− y 2 =135 24y−y2=135 => y 2 −24y+135=0 y2−24y+135=0 => y 2 −15y−9y+135=0 y2−15y−9y+135=0 => y(y−15)−9(y−15)=0 y(y−15)−9(y−15)=0 => (y−15)(y−9)=0 (y−15)(y−9)=0 => y=15, or y=9 From equation (i), x = 24 - 15 = 9 or x = 24 - 9 = 15

    Hence, sides are 15 m, 9 m.

    Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram

    Comments Similar Questions

    1). The maximum number of tangents which can be drawn from an external point to a circle is

    A). two B). one C). zero D). none of these -- View Answer

    2). A circular running track is 10 m wide. The difference in the length of the outer boundary and the inner boundary

    I. depends on the length of the track

    II. depends on the radius of the inner boundary

    III. depends on the area of the track

    IV is 20πm 20πm .

    Select the correct answer using the codes below:

    Codes : A). I, II and III B). I and III C). II and III D). IV alone -- View Answer

    3). The boundary of the shaded region in the given diagram consists of five semicircular areas. If AB=7cm, BC=3.5cm, CD=7cm and DE=7 cm, then area of the shaded region is

    A). 17.5 2 × 3.5 2 π c m 2 17.52×3.52 π cm2 B). 17.5×21 2 π c m 2 17.5×212 π cm2 C). 35×21 16 π c m 2 35×2116 π cm2 D). 35×21π 8 c m 2 35×21π8 cm2 -- View Answer

    4). If C is a circle passing through three non-collinear points D,E, F such that DE = EF = DF = 3 cms, then radius of the circle C is

    A). 3 – √ 2 cm 32 cm B). 3 – √ cm 3 cm C). 1 3 – √ cm 13 cm D). 2 3 – √ cm 23 cm -- View Answer

    5). In a circle of radius 7 cm, an arc subtends an angle of

    108 ∘ 108∘

    at the centre. The area of the sector is

    A). 43.2 c m 2 43.2 cm2 B). 44.2 c m 2 44.2 cm2 C). 45.2 c m 2 45.2 cm2 D). 46.2 c m 2 46.2 cm2 -- View Answer

    6). Area of the shaded portion in the given figure, where the arcs are quadrants of a circle, is

    A). 42 m 2 42 m2 B). 56 m 2 56 m2 C). 64 m 2 64 m2 D). 144 m 2 144 m2 -- View Answer

    7). In the given figure, PQ is tangent at A; BC is the diameter. If

    ∠ABC= 42 ∘ . then ∠PAB ∠ABC=42∘. then ∠PAB is equal to A). 21 ∘ 21∘ B). 42 ∘ 42∘ C). 48 ∘ 48∘ D). 84 ∘ 84∘ -- View Answer

    8). If length of the tangent from origin to the circle

    x 2 + y 2 −26x+K=0 is 5 x2+y2−26x+K=0 is 5

    , then K is equal to

    A). 5 – √ 5 B). 5 C). 10 D). 25 -- View Answer

    9). If area of the given circle is

    100π 100π

    square cm, then side of the square inscribed in the circle is

    A). 10 cm B). 10 2 – √ cm 102 cm C). 20 cm D). 20 2 – √ cm 202 cm -- View Answer

    10). The middle points of all chords (each having the same length) of a circle lie on a

    A). rectangle B). square C). circle D). parallelogram -- View Answer

    स्रोत : www.competoid.com

    If the perimeter of a rectangle is 48 metres and its area is 135m2, then what are the sides of the rectangle?

    Answer (1 of 3): LET LENGTH= L BREADTH= B PERIMETER= 2(L+B)= 48 L+B= 24 — —(1) AREA= LB= 135 (L-B)²= (L+B)²-4LB= 24²-4×135= 576–540 (L-B)²= 36 L-B= 6 — —(2) FROM (1) AND (2) 2L=30 L= 15 B= 9 ANSWER LENGTH = 15 M BREADTH = 9 M

    If the perimeter of a rectangle is 48 metres and its area is 135m2, then what are the sides of the rectangle?

    Ad by Aspose

    What is Aspose.OCR for C++ library?

    OCR API capable of extracting text from BMP, JPEG and other images having different fonts and styles.

    Sort Andy Zehner

    statistical analyst at Purdue University.Author has 163 answers and 313.5K answer views8y


    Would the idea of a maximum wealth tax be worth considering, given the deep concern about economic inequality? If a maximum wealth amount were set (with anything over this amount to be taxed away), what figure do you think would be right?

    Originally Answered: For those deeply concerned about economic inequality, would the idea of a maximum wealth tax be worth considering?

    If I understand rightly, the question is whether the "maximum wealth tax" ought to be 100% of all that the person got above a fixed amount. I don't think a 100% tax is desirable. But the use of very high marginal rates on incomes shouldn't even be controversial.

    We can see that federal income tax rates of up to 90% have been used in the past (from the '40s through the '70s). And we're still here. So evidently America can do OK when the top marginal tax rate is very high.

    Let's repeat that: claims that a very high marginal tax rate would ruin the country muct be discounted because

    Related questions

    The perimeter of a rectangle is 48 meters, its sides are in the ratio of 5:3. What is the area of the rectangle?

    What is the measure of the longest side of a rectangle whose perimeter is 32 and whose area is 48?

    The perimeter of a rectangle is 100 metres. What are the sides of the rectangle?

    Can a rectangle have 4 equal sides?

    The perimeter of a rectangle plot is 48 metres and the area is 108 metre square. What is the length and breadth?

    Donald Quarello Sep 24 Related

    The rectangles perimeter is 48. One side is 5 times as long as the other side. What is the area?

    Area = 80 (5s+5s+s+s=48) (12s=48) (s=4) (One side is 5 x 4 = 20 and the other side is 4) (Area is 20 x 4 = 80)

    Sponsored by USAFIS

    This is the best time to apply for the Green Card DV Lottery!

    Get a chance to win and apply today! America is waiting for you with many amazing opportunities.

    Ed Gallo

    Former Math Instructor/Professor (1990–2015)Author has 1.2K answers and 366.6K answer views1y


    Given the sides of a rectangle are in the proportion 9:14 and the perimeter of the rectangle is 230cm, the larger side length is? What is the area?

    Let 9x be one side.

    Let 14x be the longer side.

    perimeter: P = 2(length) + 2(width)

    So, 230 = 2(9x) + 2(14x)

    230 = 18x + 28x 230= 46x x = 5

    Now, the longer side: 14x = 14(5) = 70.

    And, 9x = 9(5) = 45

    Area: A = (length)(width)

    A= 70(45) = 3,150

    Conclusion: The longer side is 70 units. The area is 4,150 square units.


    Your response is private

    Was this worth your time?

    This helps us sort answers on the page.

    Absolutely not Definitely yes Igor

    PhD in Mechanical Engineering, Technion - Israel Institute of Technology (Graduated 1997)Author has 2.4K answers and 816.6K answer views3y


    The perimeter of a rectangle is 7x. If one side of the rectangle is x, what is the area of this rectangle?

    The half-perimeter is 7x/2 = 3.5 x. One side is x, then the other side is 3.5 x - x = 2.5 x.

    The area is 2.5 x * x = 2.5 x^2.

    Why are you asking this? Do you have a child in the second grade of elementary school?

    Ernest Brejtfus

    Airborne Ranger Infantry ,.Author has 102 answers and 87.7K answer views6y


    What are some examples of wars won due to terrain advantages?

    The Battle of Marathon comes to mind. The Delian League against Persia. A marsh a to the north Rocky Cliffs to the South and the Aegean Sea behind them.

    Although outnumbered by some estimates by 10 - 1. The shortened Frontline nullified the Persians numerical advantage. Their numbers were further neutralised when the Greeks deployed the first use of the pincer movement in battle. In this battle Persia picked the battlefield based on a harbor which could accommodate their ships. The largest amphibious Landing at the time, however the terrain favored the Greeks.

    It is usually the agg

    Sponsored by Screener.co

    The Screener.co stock screener is a screener for value investors.

    Screener.co is a very robust fundamental stock screener. It's free for 30 days, then from $24.95/mo.

    Pardha Saradhi Mandadi

    Arbitrator and Mediator at Self Employeed Professional (2014–present)Author has 10K answers and 2.5M answer views1y

    The perimeter of the rectangle=2(l+w)=48 m

    l+w=48/2=24 m

    The area of the rectangle=l*w=135 sq m

    l=135/w 135/w+w=24 multiply with w 135+w^2=24w w^2–24w+135=0 (w-15)(w-9)=0 w=15 or 9

    The length of the rectangle=15 m

    The width of the rectangle=9 m

    Bernard Youngs

    Lives in The United Kingdom (1941–present)Author has 747 answers and 342K answer views2y


    Are opposite sides congruent in a rectangle?

    स्रोत : www.quora.com

    Do you want to see answer or more ?
    Mohammed 5 day ago

    Guys, does anyone know the answer?

    Click For Answer