Question

find the cost of carpeting a room 12m long and 8m broad with a carpet 75cm broad at the rate of 116.50 per meters. ​

Answer 1

Ans

Total cost of carpeting = 14912 rupees

Step-by-step explanation:

Given ---> Length of room = 12 m

Breadth of room = 8 m

Breadth of carpet = 75 cm

Cost of carpet = 116.50 per meter

To find ---> Cost of carpeting the room

Solution--->

Length of room = 12 m

Breadth of room = 8 m

Area of floor of room = Length × Breadth

= 12 × 8

= 96 m²

Let length of carpet used in carpeting the floor of room be l

Breadth of carpet = 75 cm

Now we change breadth of carpet from cm to m for this we divide breadth of carpet by 100

Breadth of carpet = 75 / 100 = 0.75 m

Carpet is in the shape of rectangle

Area of carpet used in carpeting the floor of room = length × breadth

= l × 0.75 m²

Now area of carpet and area of floor of the room is equal because carpet is laid on whole floor

So

Area of carpet = Area of floor

=> l × 0.75 = 96

=> l = 96 / 0.75

=> l = 128 m

Cost of 1 m length of carpet = 116.50

Cost of carpeting the whole room

= 116.50 × 128

= 14912 rupees