14. The length of a rectangle is 5 cm more than its breadth. If the length is decreased by 3 cm and breadth is decreased by 2 cm, then area of the new rectangle is same as the area of the origina rectangle. Find the dimensions of the original rectangle.
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The length of a rectangle is 5 cm less than twice its breadth. If the length is decreased by 3 cm and breadth increased by 2 cm, the perimeter of the resulting rectangle is 72 cm. Find the area of the original rectangle. Solution: Let the breadth of the original rectangle be x cm. Then, the length of the original rectangle will be (2x – 5) cm. If the length is decreased and breadth increased, the new one's will be
L = 2x-8
B = x+2
Now it is just a matter of solving. When we solve, we get the answer as,
L = 23cm
B = 14cm
Then the area is 322 cm^2
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