Divided Protector
Posted on Saturday, November 7th, 2009 at 2:06 amWhat is the proper way to do this math problem involving foot to yard area computation (Basic Math)?
"Carpet stain protector costs $0.65 per square yard to apply. How much will it cost to apply the protectant to a 16–foot × 18–foot carpet?"
Answer choices:
A. $187.20
B. $62.40
C. $20.80
D. $96.00
Answer is C. When I did it, I, knowing there are 3 feet in a yard, multiplied 16 ft x 18 ft (288 sqft.), then divided the answer by 3, assuming since 3 feet went into a yard, dividing by 3 would get the correct square yardage. So my answer was 96 square yards, then multiplied that by $.65 and got $65.80 .
Can anyone walk me through the correct procedure?
It also occurs to me I screwed up on the basic multiplication for 96 x .65, which is 62.4.
you have to consider whether you're converting linear measurements (a line of one yard etc.) or squares.
One yard equals three feet, true. But one square yard isn't three square feet. It's nine:
1 yd = 3 ft
1yd² = 1 yd * 1 yd
1 yd² = 3 ft * 3 ft = 9 ft²
The conversion rate must be squared also.
If you were doing cubes, 1 yd³ = 27 ft³
In another example, 1 ft = 12 in; 1 ft² = 144 in²
so in your case you can either do (16/3)*(18/3) or you can do (16*18)/9
That gives you 32 yd² and that leads to $20.80
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