A square carpet when placed in a room leaves a strip 1m wide uncarpeted along one pair of opposite walls and strips of 2m along the other two walls. If the area uncarpeted if 62sq m, what is the length of the carpet?
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toss m is the area of the carpet
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Answer:
9 m
Step-by-step explanation:
Let the side of the carpet be x m.
Then as per the figure, the length of the sides of the room =x+4;x+2
Given, area of the uncarpeted area =62sqm
=>(x+4)(x+2)−x^2=62
=>x^2+4x+2x+8−x^2 =62
=>6x+8=62
=>6x=54
=>x=9
Hence, the length of the carpet =9m
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