# 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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## 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?

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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?

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 .

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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

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

Last updated at Dec. 6, 2021 by Teachoo

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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

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### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

## 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?

Byju's Answer Standard VIII Mathematics

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.

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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?

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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?

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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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