Question

The breadth of a rectangle is 8 cm less then its length . If the length is increased by 4 cm and the breadth is increased by 9 cm , the area of a rectangle is increased by 147 cm2 . Find the dimension of the rectangle​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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Let the length of the rectangle be x cm.

The breadth of the rectangle = (x - 8) cm

∴ Area of the rectangle = x × (x - 8)

New length = (x + 4) cm

New breadth = (x - 8 + 9) cm = (x + 1) cm

∴ Area of the new rectangle = (x + 4) (x + 1) = x² + 5x + 4

According to the question,

Area of the new rectangle = Area of the original rectangle + 147

∴ x² + 5x + 4 = x(x - 8) + 147

x² + 5x + 4 = x² - 8x + 147

13x = 147 (Transposing)

=> x = 11

Therefore, the length of the original rectangle is 11 cm and the breadth is (11 - 8) = 3 cm.

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