A square carpet with an area $169 m^{2}$ 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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$180 m^{2}$

$164 m^{2}$

$152 m^{2}$

$143 m^{2}$

answer is D.

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Detailed Solution

Side of square carpet $= \sqrt{Area} = \sqrt{169} = 13 m$

Measure of one side = 13 -2 = 11 m

and other side = 13 m (remain same)

$∴$ Area of rectangular room $= 13 \times 11 = 143 m^{2}$

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