The area and the perimeter of a square A and B respectively if the sides are double the area become A' and the perimeter become P' find 1) A' : A and P' : P .
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Let the side of the square be x.
Perimeter, P= 4x
Area, A = x^2
When sides are doubled, length of side= 2x
P'= 8x
A' = 4x^2
A':A = 4x^2 /x^2 = 4: 1
P" :P = 8x/4x = 2:1
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