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# a wire is in the shape of a square of side 10 cm. if the wire is rebent into a rectangle of length 12 cm, find its breadth. which encloses more area, the square or the rectangle?

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### Mohammed

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## A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which figure encloses more area and by how much?

Click here👆to get an answer to your question ✍️ A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which figure encloses more area and by how much? Question

## A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which figure encloses more area and by how much?

Medium Open in App Solution Verified by Toppr

Let a be the side of a square, l be the length and b be the breadth of rectangle.

As length of wire is constant, perimeter of both shapes would be same,

⇒4a=2(l+b) ⇒40=2(12+b) ⇒b=18 cm Area of square=a 2 =10 2 =100cm 2

Area of rectangle=lb=12×18=216cm

2

⇒ Area of rectangle is greater by 116cm

2 .

704 242

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## Example 4

Example 4 A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which encloses more area, the square or the rectangle?We convert Square wire into rectangleSo, length of wire will be same∴ Perimeter of square = Perimete Check sibling questions

## Example 4 - Chapter 11 Class 7 Perimeter and Area

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### Transcript

Example 4 A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which encloses more area, the square or the rectangle? We convert Square wire into rectangle So, length of wire will be same ∴ Perimeter of square = Perimeter of rectangle Square Side of square = a = 10 cm Perimeter = 4a = 4 × 10 = 40 cm Rectangle Length of rectangle = l = 12 cm Breadth of rectangle = b = ? Perimeter = 2 (l + b) = 2 (12 + b) = 12 cm Here, ∴ Perimeter of square = Perimeter of rectangle 40 = 2 (12 + b) 40/2 = 12 + b 20 = 12 + b 20 − 12 = b 8 = b b = 8 ∴ Breadth of rectangle is of 8 cm. Now, We need to find whose area is bigger Finding area Square Area = a × a = 10 × 10 = 100 cm2 Rectangle Area = l × b = 12 × 8 = 96 cm2 So, Area of square is greater then area of rectangle

Next: Example 5 → ### Davneet Singh

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## A wire is in the shape of a square of size 10 cm. If the wire is rebent in a rectangle of length 15 cm, what is the breadth of the rectangle? Which encloses more area, a square or a rectangle?

A wire is in the shape of a square of size 10 cm. If the wire is rebent in a rectangle of length 15 cm, what is the breadth of the rectangle? Which encloses more area, a square or a rectangle? Cartesian Plane and Coordinate Axes

A wire is in ... Question

A wire is in the shape of a square of size 10cm. If the wire is rebent in a rectangle of length 15cm, what is the breadth of the rectangle? Which encloses more area, a square or a rectangle?

Open in App Solution

Perimeter of square = perimeter of rectangle

4×side = 2(l+b) 4×10 = 2(12×b) 40 = 24b b = 10/6 Area of the square = side×side = 10×10 = 100 cm sq.

Area of the rectangle

= l×b = 12 × (10/6) = 20 cm sq

_____________________

Hence the are enclosed by the square is greater than that of rectangle by 80cm sq.

Suggest Corrections 10 SIMILAR QUESTIONS

Q. A wire is in the shape of a square of size 10cm. If the wire is rebent in a rectangle of length 15cm, what is the breadth of the rectangle? Which encloses more area, a square or a rectangle?Q.

Question 6

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

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

A wire is in the shape of a square of side

10 c m

. If the wire is rebent into a rectangle of length

12 c m

, find its breadth. Which figure encloses more area and by how much?

Q. A wire is in the shape of a rectangle . Its length is

40 c m and breadth is 22 c m

. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

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Mohammed 1 month ago

Guys, does anyone know the answer?