The sum of areas of two squares is 640 difference of their perimeter is 64 find the side of a square.
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Step-by-step explanation:
let the side of one square be X
perimeter of the square=4x
difference between the two squares = 64
perimeter of 1 square= 64+4x
perimeter of 2 square 64+4x/4 = (16+X)
x^2+(16+X)^2= 640
x^2+256+32x+ x^2= 640
2x^2+32x-384=0
x^2+16x-192=0
x(X+24)-8(X+24)=0
(x+24)(x-8)
x=24,8
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