SOLUTION: the length of a rectangle exceeds its breadth by 7cm.if the length is decreased by 4 cm and the breadth is increased by 3 cm.the area of the new rectangle is the area of the origin
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Question 464487: the length of a rectangle exceeds its breadth by 7cm.if the length is decreased by 4 cm and the breadth is increased by 3 cm.the area of the new rectangle is the area of the original rectangle.find the length and the breadth of the original rectangle.
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Let x = the breadth of the rectangle
x+ 7 = the length of the rectangle
(x+7-4)(x+3) = x(x+7)
x^2+6x+9 = x^2+7x
9=7x-6x
x = 9
x+7 = 16
The length of the rectangle is 16 cm.
The breadth of the rectangle is 9 cm.
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