So yeah. It's Algebra. Here's the question:
Carpeting costs $20 per square yard. You carpet a room that has the width of 15 feet for $800. What is the length of the room in feet?
I understand they want me to use the formula A=lw, but I still don't get it.. When I subsitute w for 15, what do I do next, if they don't give me the length? Am I suppose to plug in the money from the word problem somewhere in the formula also?
2006-09-05 08:41:29 · 16 answers · asked by Candie™ 2 in Education & Reference ➔ Homework Help
Hmm, well, the area is a certain amount of square yards...$800/$20 = 40, so the area (A) is 40 square yards.
40 = length * 5
length = 8 yards
Edited for mistake
2006-09-05 08:44:49 · answer #1 · answered by rahidz2003 6 · 0⤊ 0⤋
the cost of the carpet is Area x cost per yard
A x $20 = $800 and A= lw/9 in other words Area = length in feet times width in feet divided by 9 because the cost is in square yards
(15 x L x 20/9) = 800
15 x L x 20 = 800 x 9
15 x L = 7200/20
7200/20 = 360
15 * L = 360
L = 360/15
L = 24
2006-09-05 08:54:25 · answer #2 · answered by mac's mom 2 · 0⤊ 0⤋
The $20 per square yard will give you the Area. If it cost $800 then there must be 800/20 = 40 square yards (40*9 = 360 square feet) = A.
360 = 15*L
L = 24 feet
2006-09-05 08:48:21 · answer #3 · answered by T 5 · 0⤊ 0⤋
If carpeting costs 20 per square yard, and you spend 800, you have 40 square yards. The width of the room is 15 feet, which I think is 3 yards.
Does that help?
I think the answer above mine is wrong because he uses the area in yards and the width in feet. You need to convert both to the same unit to get the right answer.
2006-09-05 08:46:26 · answer #4 · answered by mollyneville 5 · 0⤊ 0⤋
You're on the right track. You'll have to determine how much carpeting you can get for $800. Conceptually the question is how many $20 square yards of carpet can I get if I only have $800 (Hint: How many $20s are in $800?). That will give you the area (A) in your equation A=L*W. You already have the width of the room, which leaves you with only the length (L) to solve for.
Good luck! You can do it!
2006-09-05 08:49:00 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Top guy almost had it correct.
$800/$20 gives you 40 square yards.
15 feet = 5 yards
40 = Length x 5
40/5= 8 yards
Length = 8
8 x 3 (conversion to feet) = 24 feet
The length of the room is 24 feet.
2006-09-05 08:50:30 · answer #6 · answered by Chris B 3 · 0⤊ 0⤋
$800/$20 = 40 square yards
A=lw
40=l * 5 (yards, or 15 feet)
l = 8
2006-09-05 08:47:52 · answer #7 · answered by bhalrog72 2 · 0⤊ 0⤋
okay, if it cost 20 dollars per sq yard... and you spent 800 dollars on a room that is 15 ft by X ... then
first, you convert ft to yard.. which makes it 5yds
then 800/20 =40...
you carpeted a total of 40yds right
but since you knwo the width which is 5
you say that
5x=40
divide by 5
and you get x = 8
x is the lenght...
2006-09-08 20:20:31 · answer #8 · answered by kittiezheng 1 · 0⤊ 0⤋
you plug in the money. It helps you find the area if you divide 800 by the 20. SO now that you have the area and the width, just divide the area by the width and you will find the length.
2006-09-05 08:49:19 · answer #9 · answered by jubbablumberin 3 · 0⤊ 0⤋
OK...
1.) You know the total cost, and the cost per yard, so you can find the total area.
Area = total cost / cost/yd
Area = 800 / 20
Area = 40 sq. yd
Convert width to yards:
W = 15 ft = 5 yd
Now that you have area and width, solve for length:
A = l * w
40 sq yd = l * 5 yd
8 yd = l
2006-09-05 08:47:07 · answer #10 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋