Answer:
![7.5\ units^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/tr5ihi0wjtq9j6cmoawduwpi3bhns6ezld.png)
Explanation:
The formula to find the area of a trapezoid is the following,
![A=(h)(((b_1)+(b_2))/(2))](https://img.qammunity.org/2022/formulas/mathematics/high-school/wt4lloe0kx7t3s6gn2s488ewv3oek6yxib.png)
Where (
) represents the heights of the trapezoid, (
) and (
) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.
One is given all of these values in the picture,
![h = 2.5\\\\b_1 = 2\\\\b_2 = 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/i4hjp1lizcpnqgjja40quks29jse24a64k.png)
Substitute these values into the formula and solve for the area of the trapezoid,
![A=(2.5)(((2)+(4))/(2))](https://img.qammunity.org/2022/formulas/mathematics/high-school/pkz590v66heanyz5s4t23eo3os1f7t2xe9.png)
Simplify,
![=(2.5)((6)/(2))\\=(2.5)(3)\\=7.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/wyqc0c3u679fwxea5yz6fczgltw6a3fqzr.png)