Thr length of a room floor exceeds its breadth by 20m .the area of the floor remains unaltered when the length is decreased by 10m but the breadth is increased by 5m . the perimeter of the floor in the former is
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Let l is length and b is the breadth
area is l*b
l = b+20
therefore area = (b+20)*b
also area is same when l is reduced by 10 and breadth inc by 5
area = (b+10)*(b+5)
b^2 + 20*b = b*b + 15*b + 50
5*b = 50
b = 10
l = 30
perimeter = 2*(l+b)
2*40 = 80 m
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Answer:
length is reduced, then (x-10)(x+5) will come
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