A business owner wants to have a rectangular parking lot resurfaced. The lot is 93 feet long by 58 feet wide. Basesd on a cost of $2.47 per square foot, the owner incorrectly estimated that it would cost $12,000 to have the lot resurfaced. Which could be used to get an estimate that is closest to the actual cost of resurfacing the parking lot?

Question

A business owner wants to have a rectangular parking lot resurfaced. The lot is 93 feet long by 58 feet wide. Basesd on a cost of $2.47 per square foot, the owner incorrectly estimated that it would cost $12,000 to have the lot resurfaced. Which could be used to get an estimate that is closest to the actual cost of resurfacing the parking lot?

Choices:

100 x 60 x 1.5
100 x 60 x 2
90 x 60 x 2
90 x 60 x 1.5

Answer 1

Rounding each value to the nearest single-significant-digit approximation, that would be

90x60x2

I'd choose that instead of 100*60 because in that case both values are rounded up, making the estimate too high.

Answer 2

LOL, well there is one sure way to find out

93 * 58 * 2.47 = 13,323.18
now
6000*1.5 = 9,000
6000*2 = 12,000
the last two are even lower

Answer 3

Thanks guys that makes sense now. And especially thank you because you explained it in detail not just giving me the answer so i can really understand. :)) You guys are awesome:) Hope I can ask another question later if needed.

Answer 4

You are welcome :)

Answer 5

Good call, Damon. By rounding down to 90 I neglected the rather sizable underestimate of 2.47 by 2.00.

Answer 6

To estimate the cost of resurfacing the parking lot, we need to calculate the area of the parking lot and multiply it by the cost per square foot.

The area of a rectangle can be calculated by multiplying its length by its width. In this case, the length is 93 feet and the width is 58 feet. So the area of the parking lot is 93 feet * 58 feet = 5394 square feet.

Now, we can multiply the area of the parking lot by the cost per square foot of $2.47 to find the estimated cost of resurfacing the parking lot.

Next, we need to check which of the choices provided gives us an estimate closest to the actual cost of resurfacing the parking lot, which is incorrectly estimated at $12,000.

Let's calculate the estimated costs for each of the choices:

1. 100 x 60 x 1.5 = 9000 square feet (area of the parking lot) * $2.47 per square foot = $22,230
2. 100 x 60 x 2 = 12,000 square feet (area of the parking lot) * $2.47 per square foot = $29,640
3. 90 x 60 x 2 = 10,800 square feet (area of the parking lot) * $2.47 per square foot = $26,676
4. 90 x 60 x 1.5 = 8100 square feet (area of the parking lot) * $2.47 per square foot = $20,007

The estimate that is closest to the actual cost of resurfacing the parking lot, which is $12,000, is the one with the cost closest to $12,000. In this case, the estimate of $22,230 (choice 1) is the closest.

Therefore, the answer is 100 x 60 x 1.5.