The shape of a patio is trapezoidal with a height of 10 ft and bases of 20 ft and 14 ft. What is the cost of outdoor carpeting to cover the patio if the carpeting costs $5.50 per ft2
10 * (20+14)/2 * 5.50 = ___
To find the cost of outdoor carpeting to cover the patio, we first need to calculate the area of the patio.
The formula to find the area of a trapezoid is:
Area = (1/2) * (base1 + base2) * height
Given:
Base1 = 20 ft
Base2 = 14 ft
Height = 10 ft
Substituting the values into the formula:
Area = (1/2) * (20 ft + 14 ft) * 10 ft
= (1/2) * (34 ft) * 10 ft
= 17 ft * 10 ft
= 170 ft²
Now, we can find the cost of outdoor carpeting by multiplying the area by the cost per square foot.
Cost = Area * Cost per ft²
= 170 ft² * $5.50/ft²
= $935
Therefore, the cost of outdoor carpeting to cover the patio is $935.
To find the cost of outdoor carpeting to cover the trapezoidal patio, we need to calculate the area of the patio first.
The formula to find the area of a trapezoid is:
Area = 1/2 × (base1 + base2) × height
In this case, the height of the trapezoid is given as 10 ft, and the bases are 20 ft and 14 ft.
Let's substitute the values into the formula:
Area = 1/2 × (20 ft + 14 ft) × 10 ft
= 1/2 × 34 ft × 10 ft
= 170 ft²
Now that we have the area of the patio as 170 ft², we can calculate the cost of the outdoor carpeting. The cost is given as $5.50 per ft².
Cost = Area × Cost per ft²
= 170 ft² × $5.50/ft²
= $935
Therefore, the cost of outdoor carpeting to cover the patio is $935.