Question 529799
L^2 + W^2 = D^2



(W+2)^2 + W^2 = 10^2



W^2 + 4W + 4 + W^2 = 100



W^2 + 4W + 4 + W^2 - 100 = 0



2W^2 + 4W - 96 = 0



2(W^2 + 2W - 48) = 0



2(W + 8)(W - 6) = 0



W + 8 = 0 or W - 6 = 0



W = -8 or W = 6



Throw out the negative solution to get W = 6



So the width is 6 cm and the length is 6+2 = 8 cm



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