Question

The cost of carpeting a room 18m long with a carpet 75cm wide at rs 4.50 per metre is rs 810. The breadth of the room is (k-0.5) m. The value of k is

Answer 1

hope it helps you.......

Answer 2

Answer: 8

Step-by-step explanation:

Given that : Length of room=18m

Breadth of carpet= 75cm= 0.75m

As the total cost of the carpet at the rate of Rs. 4.50/m is  Rs. 810

So,  Length of the carpet will be= $\dfrac{\text{Total cost}}{\text{cost per metre}}$ =  $\dfrac{810}{4.50}$  =    $180m$

As we know Area of rectangle = length × breadth

∴ Area of carpet = length of carpet × breadth of carpet

=$180\times0.75$ = $135 m^{2}$

Area of room = Area of carpet

Therefore,

Length of room × breadth of room =  $135 m^{2}$

⇒$18m\times(k-0.5)m= 135m^{2}$

⇒$k-0.5=\dfrac{135}{18}$

⇒$k-0.5=7.5$

⇒$k=7.5+0.5$

⇒$k=8$

The value of k is 8