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The difference of areas of two squares drawn on two line segments of different lenghts is 32sqcm find the length of the greater line segment if one is

longer than the other by 2 cm



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Let a and are the length of sides than a/q a-b = 2 and area of 1st square -area of 2nd square = 32 => a^2 - b^2 = 32 =>. (a+b)(a-b)= 32 => 2(a+b)= 32 => a+b= 16 now adding the equations we get 2a = 18 => a= 9 and b= 7 answer
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