SOLUTION: The perimeter of a rectangle is (A – 30) units and the diagonal is 13 units. The area of the rectangle is B square units. Find B
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Question 266505: The perimeter of a rectangle is (A – 30) units and the diagonal is 13 units. The area of the rectangle is B square units. Find B Answer by vksarvepalli(154) (Show Source):
You can put this solution on YOUR website! let the length of the rectangle be l units and breadth b units
given
perimeter 2(l+b) = A-30 units ------------------ 1
and diagonal sqrt(l^2+b^2) = 13 units ---------------- 2
=> l^2+b^2 = 169
and we have area lb=B sq. units -------------------- 3
squaring eq.1 we get
4[(l+b)^2] = (A-30)^2
=. 4[l^2+b^2+2lb] = (A-30)^2
but from eq.s 2 and 3
we get 4[169+2B] = (A-30)^2
