What is the area of a trapezoid with a height of 5 ft and bases of 10 ft and 5 ft?

To find the area of a trapezoid, you can use the formula:

[

\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h

]

where (b_1) and (b_2) are the lengths of the two bases, and (h) is the height of the trapezoid.

In this case, the bases are 10 feet and 5 feet, and the height is 5 feet. Plugging in the values into the formula gives:

[

\text{Area} = \frac{1}{2} \times (10 + 5) \times 5

]

Calculating this step-by-step:

1. First, add the lengths of the bases:

[

10 + 5 = 15

]

2. Next, multiply this result by the height:

[

15 \times 5 = 75

]

3. Finally, multiply by ( \frac{1}{2} ) to find the area:

[

\frac{1}{2} \times 75 =