In a rectangle, if the length is increased by 3 metres and breadth is decreased by 4 metres, the area of the rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the area is increased by 89 sq. metres. Find the dimensions of the rectangle.
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Step-by-step explanation:
area of a rectangle = length . breadth
length is increased by 3m....
l+3
breadth
b-4
so we need to product there
- l+3 ×b-4
- lb+3b-4l-12=lb-67
- 4l-3b-55.........1 we get the answer
if length is
l-1
breadth is
b+4 we get product
4l-b+85...........2 by substitute
- 4l-3b-55
- 4l-b+85.=
- we get
- 2b= 140
- b=70 meter
substitute bin eqn 1
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