Question

Carpet is listed on sale $18.50 per square yard. How much would it cost to carpet a room that is 6.52 m long and 4.15 m wide?

Answer 1

Answer:-  598.66 dollars.

Solution:- Rate of the carpet is given as 18.50 dollars per square yard. It asks how much would it cost to carpet a room that is 6.52 m long and 4.15 m wide. From given length and width, we can calculate the area of the room. This area would be in square meter. Since the rate of the carpet is given as dollar per square yard, we need to do unit conversion from square meter to square yard and then multiply the area of the room by the rate of the carpet.

$area=6.52m*4.15m$

$area=27.058m^2$

let's do the unit conversion now from square meter to square yard using the following conversion factors.

1 yd = 3 ft

1 ft = 12 in

1 in = 2.54 cm

1 m = 100 cm

Since, we have square meter, we need to do the square of all the conversion factors. The set looks as:

$27.058m^2(\frac{(100cm)^2}{(1m)^2})(\frac{(1in)^2}{(2.54cm)^2})(\frac{(1ft)^2}{(12in)^2})(\frac{(1yd)^2}{(3ft)^2})$

= $32.36yd^2$

Let's multiply this area by the given rate of the carpet.

$32.36yd^2(\frac{18.50dollars}{1yd^2})$

= 598.66 dollars

So, it would cost you 598.66 dollars to carpet the given dimensions room.