Carpeting cost $20 per square yard. You can carpet a room that has a width of 15ft for $800. What is the length of the room in feet?
It'd be helpful to give me a step-by-step process in getting the answer.
Thanks.
2007-09-01 14:00:38 · 10 answers · asked by ten marines 1 in Science & Mathematics ➔ Mathematics
how many yards did he pay?
800/20 = 40 square yards
ok so you know length x width = area right?
so 40 = 5 yards x length
length = 40/5 yards =
8 yards or 24 feet
2007-09-01 14:08:56 · answer #1 · answered by ? 3 · 0⤊ 0⤋
You are essentially using the formula for finding area to solve this problem. The first step is to discover the number of square yards that were covered with carpet. Since you know the total cost was $800, and the cost was $20 per square yard, by dividing 20 into 800 you know you have 40 square yards of carpet. They give you the width of the room in feet. 3 feet is the same as 1 yard...so the width is the same as 5 yards (found by dividing 15 by 3). Using the formula for area, Length X Width we can solve for length by plugging in what we know, total area= 40 yards...width is 5 yards. 5 times ? =40....the length is 8 yards. They are looking for the answer in feet, so convert 8 yards into feet by multiplying by 3 (since 3 feet equals 1 yard. The length is 24 feet.
2007-09-01 21:14:35 · answer #2 · answered by KLM 1 · 0⤊ 0⤋
If it costs $20 a sq yd, then $800 could buy 800/20 = 40 sq yd
The width of the room with 15ft = 15/3 = 5yd
so the length = 40/5 = 8 yd or 24 ft.
2007-09-01 21:12:00 · answer #3 · answered by norman 7 · 0⤊ 0⤋
The answer is 24 feet.
If carpet costs $20 per square yard, then your $800 would buy 40 square yards. ($800 divided by 40=$20).
So you need 40 square yards, which equals 360 feet. (1 yard=3 feet; 1 square yard =3x3 or 9 feet; 40x9=360).
Since you know that the width of the room is 15 feet, you can figure out the length of the room by dividing the total number of feet (360) by 15. The number you come up with is the length of the room.
So, 360 divided by 15= 24.
24 feet is the length of the room.
2007-09-01 21:25:49 · answer #4 · answered by Anonymous · 0⤊ 0⤋
total area of the carpet=800/20=40 yd^2
=40*9ft^2
width of carpet=15ft,
Length of carpet=40*9/15
=8*3=24 ft. ANS
2007-09-01 21:17:56 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Total cost =800
Cost per sq. yard=20
Therefore total sq yds =800/20 = 40
Width =15ft=15/3=5 yds.
Area =length X width
40=L X 5
5L=40
L=8
Hope this is useful to you
2007-09-01 21:15:01 · answer #6 · answered by Grampedo 7 · 0⤊ 0⤋
length of room = area of room / its width
area of room = carpeting cost / rate
now rate = 20 per sqyd
carpeting cost = 800
width = 15ft = 5 yds
length = [800/20] / 5 yds = 8 yds.
2007-09-01 21:13:52 · answer #7 · answered by sv 7 · 0⤊ 0⤋
first do some conversion:
15ft = 5yd
then find the area of the room
800/20 = 40 square yard
then use the equation
40 = 5L (where L is the length of the room)
L = 8 yd
8yd = 24ft
The length of the room is 24FT
2007-09-01 21:13:46 · answer #8 · answered by anonymous dude 2 · 0⤊ 0⤋
= ([$800 / $20] * 9) / 15
= (40 * 9) / 15
= 360 / 15
= 24
Answer: 24 ft is the length
Proof (area in yards @ $20 per square yard):
= ([24 ft / 3] * [15 ft/ 3]) * $20
= (8 yd * 5 yd) * $20
= 40 yd * $20
= $800
2007-09-05 05:14:19 · answer #9 · answered by Jun Agruda 7 · 3⤊ 0⤋
8ft= 15ft x 8ft = 120 ft / 3ft (for a yard) = 40 x $20 = $800
2007-09-01 21:22:41 · answer #10 · answered by answersmaybe 2 · 0⤊ 0⤋