Question

f) A carpet is placed in the middle of a floor of a room 16m long and 12m broad so that it leaves a uniform

width of 1 meter around it. Find the area and cost of the carpet at ₹ 400 per sq.m​

Answer 1

$\huge \bf \color{green} \mathfrak{Question : - }$

• A carpet is placed in the middle of a floor of a room 16m long and 12m broad so that it leaves a uniform width of 1 meter around it. Find the area and cost of the carpet at ₹ 400 per sq.m.

$\huge \bf \color{blue} \mathfrak{Solution : - }$

Area of Carpet

Area of Carpet = Length Of Carpet × Breadth of Carpet

→ Area of Carpet

= Length Of Carpet × Breadth of Carpet

→ Area of Carpet

= (Length of Room - 1m -1m) × (Breadth of Room - 1m - 1m)

→ Area of Carpet

= (16m - 1m -1m) × (12m - 1m - 1m)

→ Area of Carpet = 14m × 10m

→ Area of Carpet = 140m²

The Cost of Carpet = ₹400/m²

The Total Cost Of Carpet = 140m² × ₹400/m²

→ The Total Cost Of Carpet = 140m² × ₹400/m²

→ The Total Cost Of Carpet = ₹56000

$\huge \bf \color{orange} \mathfrak{Answer : - }$

The Total Cost Of Carpet = ₹56,000