Question

How much will it cost to carpet a 13 ft by 15 ft room if carpeting costs $18.00 per square yard?

Answer 1

First thing you gotta get both in the same unit. Either size of the room in yards or cost in money per square foot.
How many feet in a yard?

Answer 2

3 feet.

Answer 3

read ft as yd lol

Answer 4

please show all work.

Answer 5

So 13/3 and 15/3 is the size of the room in yards.
The room is 4.3 by 5 yards.
Multiply those two and you get the area of the room in square yards. (4.3 * 5 )
Finally just multiply that value by 18 and you have your total cost.

Answer 6

the more accurate answer would be found by converting the cost in terms of per square feet.
it costs $18 per square yard, so it costs $2 per square feet.
so your answer is $(13*15*2) = $ 390
you lose out a significant term if you do 13/3

Answer 7

it still comes out the same, possible rounding error maybe

Answer 8

I said you could do either, but I thought it was easier to explain this way rather than explaining that from square yards to go to square feet you had to square the 3 first then divide by it.

Answer 9

yes, that was my point. I know you explained correctly. I am just pointing out that if you do 4.3*5*18, you end up with an answer of 387 instead of 390. It is just that you lose significant digits when doing things like 13/3 and so on.

Answer 10

Perhaps I should have indicated that it came out to 4.333...

Answer 11

yup, or just leave it as 13/3 because the 18 would cancel out the 3 anyway :)

Answer 12

the answer is $390 per square foot.

Answer 13

no jailrys, the answer is $390 for the whole room, not per square foot.

Answer 14

I'm sorry, could you please show me the work. I'm a little confused on the process.

Answer 15

the carpet is 13 feet by 15 feet correct?
so it has an area of 13 times 15 square feet = 195 sq.ft

Answer 16

right. 195 sq. ft

Answer 17

now, carpet costs $18 per square yard.
one square yard is 1 yard by 1 yard or 3 feet by 3 feet.
so 1 square yard is 9 square feet.
so if 1 sq. yard costs $18, it means that 9sq.ft cost $18.
or 1sq.feet costs $2
if 1sq.ft costs $2, then 195sq.ft. costs 195*2 = $390