the length of a rectangle exceeds its width by 3 metre, if the width is 5 Metre, if the width is increased by 1 metre and the length is decreased by 2 metre the area of the new rectangle is 4 square metre less than the area of the original rectangle find the dimensions of the original rectangle
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Verified answer
Step-by-step explanation:
Given,
area of a new rectangle is 4 square metres less than the area of the original rectangle .
So,
a balanced equation can be formed like this :
{x}^{2} + 3x + 4 = {x}^{2} + 5x
{x}^{2} - {x}^{2} + 3x + 4 = 5x
Cancelling +x² and -x²,
we have,
3x + 4 = 5x
4 = 5x - 3x
4 = 2x
x = \frac{4}{2}
x = 2
So,
Length = x + 5 m = 2 + 5m = 7m
Breadth = x = 2m
Thus,
the length and breadth of the rectangle will be 7m and 2m respectively
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Answer:
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Step-by-step explanation:
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