The shape of a patio is trapezoidal with a height of 9 ft and bases of 14 ft and 8 ft. What is the cost 24) of outdoor carpeting to cover the patio if the carpeting costs $2.50 per ft2?
$247.50
(14+8)/2 * 9 * 2.50
Well, let's crunch some numbers and find out!
First, we need to calculate the area of the trapezoidal patio. To do that, we can use the formula for the area of a trapezoid: A = (b1 + b2) * h / 2.
In this case, b1 and b2 are the lengths of the bases, which are 14 ft and 8 ft respectively, and h is the height, which is 9 ft. Plugging in the numbers, we get:
A = (14 + 8) * 9 / 2
A = 22 * 9 / 2
A = 99 ft2
Now that we have the area, we can calculate the cost of the carpeting. The cost per square foot is $2.50, so we just need to multiply that by the area:
Cost = $2.50 * 99 ft2
Cost = $247.50
So, the cost of outdoor carpeting to cover the patio would be $247.50. Now, that's a pretty decent price, but keep in mind, if you invite me over, I won't charge you a single penny!
To find the cost of outdoor carpeting to cover the trapezoidal patio, we need to first calculate the area of the patio.
The formula to find the area of a trapezoid is:
Area = 1/2 * (b1 + b2) * h
Where:
- b1 and b2 are the lengths of the bases
- h is the height of the trapezoid
In this case, the bases are 14 ft and 8 ft, and the height is 9 ft.
Plugging these values into the formula, we have:
Area = 1/2 * (14 + 8) * 9
= 1/2 * 22 * 9
= 99 ft²
The area of the patio is 99 ft².
Now, to find the cost of the outdoor carpeting, we need to multiply the area of the patio by the cost per square foot.
Cost = Area * Cost per ft²
= 99 ft² * $2.50/ft²
= $247.50
Therefore, the cost of outdoor carpeting to cover the patio would be $247.50.