Question 1137671
the room measures 10 feet by 18 feet.


a. Convert the measurements to inches by inches.


10 feet * 12 = 120 inches.
18 feet * 12 = 216 inches.


the room measures 120 inches by 216 inches.



b. Find the area of the room in square yards


number of feet are equal to number of yards * 3.
number of inches are equal to number of feet * 12.


conversely, .....


number of yards are equal to number of feet / 3.
number of feet are equal to number of inches / 12.


if you are looking for square yards and square feet and square inches, you would do the following conversions.


square feet are equal to number of square yards * 3^2 which is equal to number of square yards * 9.
square inches are equal to number of square feet * 12^2 which is equal to number of square feet * 144.


number of square yards are equal to number of square feet / 9.
number of square feet are equal to number of square inches / 144.


you were given the dimensions of the room in feet.
that was 10 feet by 18 feet.
the number of square feet would be 10 * 18 = 180 square feet.
the number of square yards would be 1800 / 9 = 20 square yards.


you can confirm that's true by converting the feet to yards and then finding the area.


10 feet / 3 = 10/3 yards.
18 feet / 3 = 6 yards.


10/3 * 6 = 60/3 = 20 square yards.


i think in your answer to b, you meant 20 square yards and not 20 square feet.


so far, you're doing good.

c. How much would it cost to carpet a room if the carpet cost $17.90 per meter squared? 


here they tossed you a curve.


they asked the price per square meter, not per square yard.


if it was 17.90 per square yard, your answer would have been correct at 17.90 * 20 = 358.


if they really wanted per square meter, then you need to convert square yards to square meters.


yards are equal to meters / 1.09361.
meters areequal to yards * 1.09361.
square yards are equal to square meters / 1.19599
square meters are equal to square yards * 1.19599.


not that 1.19599 is equal to 1.09361 squared and then rounded to 5 decimal places.


therefore, 20 square yards / 1.19599 is equal to 16.72254785 square meters and the cost will be 17.90 * 16.72254785 = 299.3336065 = 299.33 rounded to 2 decimal places.


if they meant cost per square yard, then you were right.
\if they meant cost per square meter, than what i gave you should be the answer.


note that you could have converted the yard measurements to meter measurements and got the same answer.


10/3 yards / 1.09361 = 3.048009193 meters.
6 yards / 1.09361 = 5.486416547 meters.


square meters are 3.04..... * 5.48..... = 16.72264807 square meters * 17.9 = 299.33 rounded to 2 decimal places.


bottom line is you did ok but there are some wrinkles that either shouldn't be there or that you didn't account for in part c.