Perimeter of a rectangle is 80 m. If length of field is decreased by 2 metre and breadth is increased by 2 metre the area is increased by 36 square kilometre using two variables find the length and breadth of the rectangle.
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Let the length and breadth of the rectangular field be l and b.
According to the given information,
2(l + b) = 80
l + b = 40 ... (1)
Original Area = lb
Now, the new length = l - 2
new breadth = b + 2
New Area = (l - 2) (b + 2)
According to the given information,
(l - 2) (b + 2) = lb + 36
lb - 2b + 2l - 4 = lb + 36
2(l - b) = 40
l - b = 20 ...(2)
Adding (1) and (2), we get:
2l = 60
l = 30 So, b = 10
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