Question

a room is 13 m long and 9 m broad. find the cost of carpeting the room with a carpet 75 CM broad at the rate of ₹65 per meter.​

Answer 1

Answer:₹10140

Step-by-step explanation:

Length of the room= 13m

Breadth of the room =  9m

Area of the room= 13 X 9 =117$m^{2}$

Breadth of carpet= 75 cm = 0.75m

Length of carpet required = Area of the room/ Breadth of carpet= $\frac{117}{0.75}$=  156m

Rate of carpeting= ₹65/ m

∴ cost of carpeting the room= ₹65 x 156= ₹10140

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Answer 2

$\large{\underline{\rm{\purple{\bf{Question:-}}}}}$

A room is 13 m long and 9 m broad. Find the cost of carpeting the room with a carpet 75 cm broad at the rate of ₹65 per meter.​

$\large{\underline{\rm{\purple{\bf{Given:-}}}}}$

Length of the room = 13 m

Breadth of the room = 9 m

Cost of the carpet per metre = Rs. 65

$\large{\underline{\rm{\purple{\bf{To \: Find:-}}}}}$

The cost of carpeting the room.

$\large{\underline{\rm{\purple{\bf{Solution:-}}}}}$

Given that,

Length of the room = 13 m

Breadth of the room = 9 m

Cost of the carpet per metre = Rs. 65

Formula:

$\boxed{\sf Area \: of \: a \: rectangle=Length \times Breadth}$

Finding the area of the room,

Area of the room = 13 × 9

Area of the room = 117 sq. m

Let the length of the carpet required be l

Width of the carpet = 75 cm = 0.75 m

Area of the carpet = Area of the room

$\sf \longrightarrow l \times 0.75=117$

Finding the length,

$\sf \longrightarrow l=\dfrac{117}{0.75}$

$\sf \longrightarrow l=156 \: m$

Hence, length of the carpet required = 156 m

Cost of the carpet per metre = Rs. 65

Therefore,

Total cost of the carpet = Length × Cost per meter

Total cost of the carpet = 156 × 65

Total cost of the carpet = Rs. 10140

Hence, the total cost required is Rs. 10140

$\large{\underline{\rm{\purple{\bf{Note:-}}}}}$

Formula of area of rectangle = Length × Breadth

Formula of perimeter of rectangle = 2 (Length + Breadth)

Formula of area of square = Side × Breadth

Formula of perimeter of square = 4 × Side