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Q.

A square carpet with an area 169 m2 must have 2 metres cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of rectangular room?

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a

164 m2

b

143 m2

c

180 m2

d

152 m2

answer is D.

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Detailed Solution

Side of square carpet = Area =169=13 m

Measure of one side = 13  -2 = 11 m 

and other side = 13 m (remain same)

∴ Area of rectangular room =13×11=143 m2

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A square carpet with an area 169 m2 must have 2 metres cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of rectangular room?