a wire in the shape of rectangle. it's length is 40cm and breath is 22cm if the same wire is rebent in the shape of square what will be the measure of each side
Answers
Answer:1) let the rectangle length =l =40cm
breadth =b =22 cm
let the side of a square = a cm
if the same wire is rebent in the shape of a square then
perimeter of a square=perimeter of rectangle
4a=2(l+b)
4a =2(40+22)
4a =2*62
a =2*62/4
a=31 cm
therefore side of a square = a =31cm
2) area of the rectangle =l*b= 40*22=880 cm^2
3)area of the square=a^2 = (31)^2 =961 cm^2
therefore
area of the square is more
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Step-by-step explanation:
Length of the rectangle=40cm
Breadth of the rectangle=22cm
Perimeter of the rectangle =2*(l+b)
=2*(40+22)
=2*62
=124cm
Perimeter of the square=perimeter of the rectangle
Perimeter of the square = 124 cm
Side of the square = perimeter /4
=124/4
=31 cm
Therefore the side of the square is 31cm
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