How much carpet is needed in square yards to carpet a room that is 14feet wide and 10long?

Answer 1

Do you want wall-to-wall carpeting? Then you want to know the total surface area of the room's floor. area of the room.

The area of a rectangle is found by multiplying the WIDTH x DEPTH. 14 X 10 = 140 square feet. That is the size of your floor.

How do you determine the size of each piece of carpet to cover the floor? The same way!

A square yard (the standard measurement of carpet) has four sides of equal length, because it is a square. How long is each side? How long is one yard!

That would be 3 feet on each side. Both WIDTH and DEPTH are 3 feet. To multiply WIDTH x DEPTH, multiply 3x3. The answer is 9. That is how many square feet are in one square yard!

How many squares of carpet, each 9 square feet, will be needed to cover 140 feet? The formula would be 9x?=140. To determine the variable, which will be your answer, divide both sides of the equation by 9. That leaves your equation at ?=15 with a remainder of 5 square feet.

Will the carpet store cut a section of carpet that is 9 square feet to give you only the 5 square feet you will need? Then your answer is 15 5/9ths. Otherwise, you will need to buy 16 square yards. Then you will cut away 4/9ths of a square yard. This you can give to your cat, who will appreciate the new "toy"!

How many squares of 9 square feet will be needed to cover 140 square feet? Divide the total area by the size of your squares!

140 divided by 9 equals 15 with a remainder of 5. The carpet store probably will not be willing to sell a piece of carpet to cover what is left, which would equal your remainder divided by the size of your carpet square (which would by 5/9ths of a square yard, slightly more than one-half). So your answer would be 16 square yards are needed!

(and about one-half a square yard of extra carpet you can let your cat play with!)