Question

Find the area of the trapezoid.

Short answer

The area of the trapezoid is${\text{135.15 cm}}^2$.

Step-by-step solution

Step 1. Given information.

The given figure is given below as,

Step 2. Formula used.

The formula of area of trapezoid is defined as,

$\text{Area}=\frac{1}{2}\times \left(\text{Sum of parallel sides}\right)\times \text{Height}$

Step 3. Calculation.

Substitute the given values in the formula to find the remaining base.

$\begin{array}{c}\text{Area}=\frac{1}{2}\times \left(7.5+19\right)\times 10.2\\ =26.5\times 5.1\\ =135.15{\text{cm}}^2\end{array}$

Step 4. Conclusion.

Therefore, the required area is$135.15{\text{cm}}^2$.