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Question

A room is 12.5 m long and 8 m wide. A square carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted.

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Solution

We have, Length of the room = 12.5 m, Breadth of the room = 8 m and Side of the square carpet = 8 m $\mathrm{The}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{room}=\mathrm{Length}×\mathrm{Breadth}\phantom{\rule{0ex}{0ex}}=12.5×8\phantom{\rule{0ex}{0ex}}=100{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Also},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{square}\mathrm{carpet}=\mathrm{Side}×\mathrm{Side}\phantom{\rule{0ex}{0ex}}=8×8\phantom{\rule{0ex}{0ex}}=64{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Now},\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{floor}\mathrm{which}\mathrm{is}\mathrm{not}\mathrm{carpeted}=\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{room}-\mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{carpet}\phantom{\rule{0ex}{0ex}}=100-64\phantom{\rule{0ex}{0ex}}=36{\mathrm{m}}^{2}$

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