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The length of a rectangle exceeds its breadth by 7cm. If the length is decreased by 4cm and the breadth is creased by 3cm , the area of the new rectangle is the same as the area of the original rectangle. Find the length and breadth of the original rectangle.

Class: 9

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16cm, 9cm

7cm, 8cm

17cm, 7cm

None of the above

answer is A.

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Detailed Solution

Let the breadth of the rectangle be : x cm
Therefore, length = x + 7cm
According to the question
(x + 3)(x + 3) = x(x + 7)
x2 + 9 + 6x = x2 + 7x
x = 9
Hench dimensions of original rectangle
Length = 16cm
Breadth = 9cm

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