Math, asked by maths117, 1 year ago

A wire is in the shape of rectangle it's length is 40cm and breadth 22cm ih 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 and by how much

Answers

Answered by Prashusingh

the rectangle acquire more area by approx 639.75 cm

lucifer268: The perimeter of the square and the rectangle will be same that is 124. so if we divide 124 by 4 we get 31 so the length of the side of the square will be 31 and so its area will be 991 square units. Comparatively area of the rectangle is 880 units. So the difference is 991 - 880 that is one 111 units.

Answered by jack6778

Soln: Given,

length = 40 cm
breadth = 22 cm

$perimeter \: of \: rectangle \\ = 2 \times (l + b) \\ = 2 \times (40 + 22) \\ = 2 \times 62 \\ = 124$
Now,
Perimeter of square = 124
=> 4 × side = 124
=> Side = 124/4
= 31 cm

Therefore,
Area of rectangle = l × b
= 40 × 22
= 880 cm²

And
Area of square = ( side)
= (31)²
= 961 cm²
= 2×(l+b)
= 2×(40+22)
= 2×62
= 124
=> 4 × side = 124
=> Side = 124/4
= 31 cm

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