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 rea of the new rectangle is same as the area of the original rectangle.Find the length and the breadth of the original rectancle.
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Step-by-step explanation:
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
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