Question

directions: find the area of each figure below.
25.
(figure of a trapezoid with top base 7a²b, bottom base 11a²b, height 3ab)

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\frac{1}{2} \times (\text{sum of the two parallel sides}) \times \text{height}$

Step2: Identify given values

Parallel sides: $7a^2b$ and $11a^2b$; Height: $3ab$

Step3: Calculate sum of parallel sides

$7a^2b + 11a^2b = 18a^2b$

Step4: Substitute into area formula

$\frac{1}{2} \times 18a^2b \times 3ab$

Step5: Simplify the expression

$\frac{1}{2} \times 18 = 9$; $9 \times 3 = 27$; $a^2b \times ab = a^{3}b^{2}$
Combine terms: $27a^3b^2$

Answer:

$27a^3b^2$