Question

A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Answer 1

Area of the floor

= l × b

= 5 × 4

= 20 m²

Area of carpet

= s × s

= 3 × 3

= 9 m²

Area of the floor that is not carpeted

= 20 m - 9 m

= 11 m²

∴ 11 m² is the area of the floor that is not carpeted.

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Answer 2

$\text{Area of the floor = L x B}$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5 \times 4$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {= 20 \: m}^{2}$



$\text{Area of carpet = S x S}$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 3$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {= 9 \: m}^{2}$



$\text{Now, area of the floor that is not carpeted}$
$\text{= 20 m – 9 m}$
${= 11 \: m}^{2}$



$<b>$
Therefore, ${11 \: m}^{2}$ is the area that is not carpeted.