What is the area of a trapezoid with bases of 5 and 7 and a height of 4?

To find the area of a trapezoid, the formula used is:

[

\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.

In this case, the bases of the trapezoid are 5 and 7, and the height is 4. Plugging these values into the formula:

[

\text{Area} = \frac{1}{2} \times (5 + 7) \times 4

]

Start by adding the bases:

[

5 + 7 = 12

]

Now substitute this back into the area formula:

[

\text{Area} = \frac{1}{2} \times 12 \times 4

]

Multiply:

[

\frac{1}{2} \times 12 = 6

]

[

6 \times 4 = 24

]

Thus, the area of the trapezoid is 24.

This is why the provided answer is correct.