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# if a wire of length 12 m is bent into a square shape, what would be the side length of the square?

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## If a wire is bent into the shape of a square, then the area of the square is 81 cm^2 . When the same wire is bent into a semi

Click here👆to get an answer to your question ✍️ If a wire is bent into the shape of a square, then the area of the square is 81 cm^2 . When the same wire is bent into a semi - circular shape, then the area of the semi circle will be If a wire is bent into the shape of a square, then the area of the square is 81 cm

Question 2

. When the same wire is bent into a semi-circular shape, then the area of the semi circle will be

A22 cm

2

B44 cm

2

C77 cm

2

D154 cm

2 Medium Open in App Solution Verified by Toppr

Correct option is C)

Let the side of the square be a cm

Thus, perimeter is 4a and area of the square is a

2 ∴a 2 =81 ⇒a= 81 ​ ⇒a=9

Thus, perimeter =4×9 =36 cm

Now, wire is bent into a semicircle.

Therefore, 2r+πr=36 ⇒r(π+2)=36 \$\$ ⇒r= 7 22 ​ +2 36 ​ ⇒r= 7 36 ​ 36 ​ ⇒r=7 cm

Area of semicircle =

2 1 ​ πr 2 = 2 1 ​ × 7 22 ​ ×7×7 =77 cm 2

382 45

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## If a wire of length 12 m is bent into a square shape, what would be the side length of the square?A. 4 mB. 3 mC. 6 mD. 2 m

If a wire of length 12 m is bent into a square shape, what would be the side length of the square?A. 4 mB. 3 mC. 6 mD. 2 m Home

If a wire of length 12 m is bent into a square shape, what would be the side length of the square?A. 4 mB. 3 mC. 6 mD. 2 m

Question

If a wire of length 12 m is bent into a square shape, what would be the side length of the square?

A 4 m B 3 m C 6 m D 2 m Open in App Solution

The correct option is B 3 m

When a wire is bent into a square, the total length of the wire should be divided into 4 sides of the square.

So, when we add all 4 sides of the square we'll get the total wire length.

Perimeter of a square =

4 × s i d e ⇒ 12 = 4 × s i d e ⇒ s i d e = 12 4 ⇒ s i d e = 3 m

Hence the side length of the given square is 3 m.

Suggest Corrections 0 SIMILAR QUESTIONS

Q. A wire is bent into a rectangle of length 50 cm and breadth 30 cm. If the wire were straightened and then bent into a square, how many centimetres would each of its sides measure?Q.

Question 9

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square?

( T a k e π = 22 7 )

Q. If a wire of length 12 m is bent into a square shape, what would be the side length of the square?Q. If a circular wire of radius 7 cm is bent into the shape of a square, then what will be the area of the square?Q.

Shazli took a wire of length

44 c m

and bent it into the shape of a circle. Find the radius of that circle. Also finds its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle, and the square? (Take

π = 22 7 ) View More

स्रोत : byjus.com

## A wire is in the shape of a rectangle, and its length is 32m and breadth 20m. If the same wire is re

Answer (1 of 6): The sides of the rectangle (it cannot be a wire, obviously) = 2(32+20) = 2*52 m. Each side of the square = 2*52/4 = 26 m. Area of the square = 26^2 = 676 sq m. The area of the rectangle = 32*20 = 640 sq m. The square encloses an area larger than the rectangle. A wire is in the shape of a rectangle, and its length is 32m and breadth 20m. If the same wire is re-bent in the shape of a square, what will be the measure of each side? Also find which encloses more area.

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Sort Peter James Thomas

Knows 3 Nobel Laureates, 1 vicariously, 1 slightly, 1 well. Author has 6.1K answers and 14.3M answer views4y

There is an unfailing method that can be employed to derive the correct result in situations like this which I will now share with you…

Concentrate in class, take good notes and review them. You will then be able to do your own homework without bothering us here on Quora.

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Laborant Quality Control at Fertilizer Company (2003–present)Author has 5.1K answers and 7.8M answer views4y

32 x 20 = 640 m² ( enclosed area )

Total length of the wire (32+20)x2= 104m

Making a square form with 104 m wire = each side is 104/4= 26m.

Enclosed area of that square: 26 x 26 = 676 m²

==> The/a square has the most enclosed area for the same circumference versus any rectangular form (of the same circumference ).

Steven Schlenker

Studied at Harvard Business SchoolAuthor has 108 answers and 680.1K answer views4y

Area of a square = side*side = X^2

Converting that square to a rectangle, if you think about it first visually then mathematically, means increasing the length of two opposite sides by an amount A, which can only be done by decreasing the length of the other two opposite sides each by the same amount A. This is obvious when you think that you are not changing the overall length of the wire, which in a straight line is 32+32+20+20=104. The 104 is "invariant" i.e. it doesn't change, so increasing two sides decreases the other two sides by the same amount.

The area of any rectangle, therefore, is (

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Greg Peatfield 4y

Take the perimeter of the Rectangle:

2*32 + 2*20 = 104m

Square are 4 equal side:

104 / 4 = 26m 26m per side square Related questions

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Related

A wire is in a shape of a rectangle. Its length is 40 cm and its breadth is 22 cm. If the same wire is bent in the shape of a square, what will be the measure of each side. Also, which side encloses more area?

Let length of rectangle = L = 40 cm

& Breadth of rectangle = B = 22 cm

Area of rectangle = L×B = 40×22 = 880 Sqm

Perimeter of rectangle = 2(40+22) = 124 cm

Side of square = Perimeter of rectangle ÷ 4 = 124÷4 = 31 cm

Area of square = 31×31 = 961 Sqm

Therefore, Area of square is more than area of rectangle with the same perimeter.

Paul Grimshaw

IT Architect in the Computer Industry (1983–present)Author has 3.2K answers and 9.6M answer viewsUpdated 11mo

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A piece of wire of length 100 cm is cut into two parts, one of which is bent into the shape of a circle and the other into the shape of a square. How should the wire be cut so that the sum of the enclosed areas is a minimum?

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Mohammed 14 day ago

Guys, does anyone know the answer?