the length of a rectangle exceeds is breadth by 7cm. if the length is decreased by 4 cm and breadth is increased by 3 cm, the area of the new rectangle is the same as the area of the original rectangle. find the breadth and the length of the original rectangle.
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Answer:
16 cm
Step-by-step explanation:
let the Breadth=X cm
The length exceed 7cm=(X+7)cm
Breadth is exceed by 3=(X+3)cm
length is decreased by
4=(X+7-4)=X+3 cm
Area=length×Breadth
According To The Question
X(X+7)=(X+3)×(X+3)
x^2-7x=x^2+3x+3x+9
x^2+7x-x^2-3x-3x=9
7x-6x=9
X=9
Breadth=9cm
Length=9+7=16cm
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