Question

a room is 14 meter long and 12 meter wide a square carpet of side 10 m is to be laid of its floor find the area of the floor which is mot carpeted

Answer 1

Answer:

• There is a room of 14 meter long & 12 meter wide
• A square carpet is on the floor which id of dose 10 meter
• Are of the floor that's not carpeted = ?

$\displaystyle\underline{\bigstar\:\textsf{According to the given Question :}}$

• We shall first find the area of the floor and then the area of the carpet then their differce will be the area that's not covered

Area of the floor:-

$\displaystyle\sf :\implies Area_{Rectangle} = Length \times Breadth$

$\displaystyle\sf :\implies Area = 14\times 12$

$\displaystyle\sf :\implies Area = 168 \ m^2$

Area of the carpet:-

$\displaystyle\sf :\implies Area_{square} = Side^2$

$\displaystyle\sf :\implies Area = 10^2$

$\displaystyle\sf :\implies Area = 100 \ m^2$

$\displaystyle\underline{\bigstar\:\textsf{Area uncovered :}}$

$\displaystyle\sf \dashrightarrow Area \ of \ floor - Area \ of \ carpet$

$\displaystyle\sf \dashrightarrow 168-100$

$\displaystyle\sf \dashrightarrow 68 m^2$

$\displaystyle\therefore\: \underline{\textsf{Area uncovered will be \textbf{ 68 m}}\sf {}^2}$

Answer 2

Answer:

There is a room of 14 meter long & 12 meter wide

A square carpet is on the floor which id of dose 10 meter

Are of the floor that's not carpeted = ?

$\displaystyle\underline{\bigstar\:\textsf{According to the given Question :}}$

We shall first find the area of the floor and then the area of the carpet then their differce will be the area that's not covered

Area of the floor:-

$\displaystyle\sf :\implies Area_{Rectangle} = Length \times Breadth$

$\displaystyle\sf :\implies Area = 14\times 12$

$\displaystyle\sf :\implies Area = 168 \ m^2$

Area of the carpet:-

$\displaystyle\sf :\implies Area_{square} = Side^2$

$\displaystyle\sf :\implies Area = 10^2$

$\displaystyle\sf :\implies Area = 100 \ m^2$

$\displaystyle\underline{\bigstar\:\textsf{Area uncovered :}}$

$\displaystyle\sf \dashrightarrow Area \ of \ floor - Area \ of \ carpet$

$\displaystyle\sf \dashrightarrow 168-100$

$\displaystyle\sf \dashrightarrow 68 m^2$

$\displaystyle\therefore\: \underline{\textsf{Area uncovered will be \textbf{ 68 m}}\sf {}^2}$