Of two squares the sides of larger area 7cm.longer than those of smaller and the area of larger is 63 sq.cm more. What is the length of sides is each.?
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Step-by-step explanation:
The sum of their areas = x^2 +(x+3)^2
= x^2+x^2+6x+9
= 2x^2+6x+9 = 185, or
2x^2+6x-176 = 0
x^2+8x-88 = 0
(x+11)(x-8) = 0
The two squares have 8 in. and 11 in. sides. Answer.
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