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A Wire is 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? - Mathematics

A wire is 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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Solution

Perimeter of rectangle = Perimeter of square

2 (Length + Breadth) = 4 × Side

2 (40 + 22) = 4 × Side

2 × 62 = 4 × Side

Side = 124/4 = 31 cm

Area of rectangle = 40 × 22 = 880 cm2

Area of square = (Side)2 = 31 × 31 = 961 cm2

Therefore, the square-shaped wire encloses more area

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APPEARS IN

NCERT Class 7 Maths
Chapter 11 Perimeter and Area
Exercise 11.1 | Q 6 | Page 208
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