I have a word problem in Geometry... i need help... I just to check if I got the right answer...?

Question

A rectangular rug is 8 ft by 12 ft and costs $400. What would be a reasonable cost for a rug that is 6 ft by 9 ft and uses the same fabric?

Answer 1

ok so first find the area of the first rug:
thats 8*12=96
then the second rug:
6*9=54
set up a proportion:
96/400=54/x
cross multiply:
96x=21600
divide by 96:
x=225
so the reasonable cost for a 6 ft by 9 ft rug is $225

Answer 2

$225
Use the idea that 8*12 = 96 square feet
So the price per square foot is 400/96
Therefore, since 6*9 = 54 square feet, the price for the 6x9 rug would be 54*(price per square foot)
So,
54*400/96 = 225 dollars

Answer 3

I got $225.

Dylan K's approach is *almost* right. A 6'x8' rug is half the area, $200. Now, that 9th foot --- thing of the rug as having 8 six foot by one foot strips, and we are adding one more six foot by one foot strip, to make it 6 x 9. Thus, we need to increase $200 by ONE EIGHTH, which is $25, making the total $225.

Answer 4

First, figure out the total square feet of the 8x12 rug.

Then divide $400 by this square feet (area). This will give you a cost per square foot.

Finally, figure out the total square feet of the 6x9 rug and multiply that by the cost per square foot from the previous calculation.

Answer 5

If a rug that is 8 ft by 12 ft (or 96 square ft) is $400.00; a rug that is 6 ft by 9ft (or 54 square ft) is 56.25% smaller.

Reasonable Price = $400.00 X .5625 or $225.00.

Answer 6

Well you need to compare the amount of fabric used to make those rugs. The more fabric used, the greater is the cost. (Hint: The amount of fabric used to make a rug depends on the area of the rug.

Answer 7

8*12/400 = 9*6/x
96/400 = 54/x
x = 400*54/96 = $225

Answer 8

well if it was a 6 by 8 rug, it would be exactly half the size, so half the cost, $200. Then add a sixth of $200 for that 9th foot, $33. So $233

Answer 9

area of 8 by 12 is 8*12 = 96
this means one squared ft costs 400/96 = 4.1 dollars
6 by 9 has area 6*9 = 54
it should cost around 54*4.1 = 221.4 dollars

Answer 10

i assume that the scale of the rectangle are the scale of the room floor. You did not factor out that. Make 12ft = 144in 15ft = 180in section to be tiled = one hundred forty four*one hundred eighty sq. in = 25920 sq. in element of one million tile = 3*2 = 6 sq. in No. of tiles necessary = (section to be tiled)/(element of one million tile) = 25920/6 tiles = 4320 tiles Case a million: 10 tiles = 0.30 cents value of 4320 tiles = 0.30*432 cents = 129.6 cents Case2: 10 tiles = $0.30 value of 4320 tiles = $129.6 you've reported .30 cents on your question. It must be funds. Please examine. only in case, I solved for both situations. the answer is 129.6 i comprehend i'm proper.