Q20 of 99 Page 264

The perimeter of a rectangle is 34 cm. and area is 60 sq. cm. What is the length of each diagonal?

Perimeter = 2(L + B) = 34cm


Area = LB = 60sqcm


So L + B = 34, squaring on both sides


(L + B)2 = 1156


L2 + B2 + 2LB = 1156


LB = 60


L2 + B2 + 120 = 1156


Or L2 + B2 = 1036


We know that Diagonal2 = L2 + B2


So D2 = 1036


D = 32.18cm


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