Question

the length of triangle exceeds it's breadth by 7 cm . If the length is decreased by 4 cm and the breadth is increased by 3 cm , the area of the new rectangle is the same as the area of the original rectangle. find the length and breadth of original rectangle.

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Answer 1

Answer:

Let the breadth of the rectangle be x cm.

Therefore, length =x+7 cm

According to the question,

(x+3)(x+3)=x(x+7)

$x^{2}$ +9+6x=$x^{2}$   +7x

x=9

Hence, dimensions of original rectangle,

Length = 16 cm

Breadth = 9 cm

Step-by-step explanation: