Question

~ The length of a rectangle exceeds its 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 remains the same as the area of the original rectangle. Find the length and breadth of the original rectangle.
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Answer 1

Answer:

let breadth is x cm

length=(x+7) cm

area= x(x+7) sq cm

if length is (x+7-4) cm=(x+3)cm

breadth is (x+3)cm

then area (x+3)(x+3) sq cm

so,

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

=> x^2+6x+9=x^2+7x

=> x^2+6x+9-x^2-7x=0

=> -x= -9

=> x=9

so the length of the original rectangle is (9+7) cm=16 cm and breadth is 9 cm

Answer 2

Answer:

Refer to the above attachment.

Hope it helps you sis.

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