Question

use the drop - down menus to complete the sentences to determine the total area of the figure. click the arrows to choose an answer from each menu. the trapezoid has a height of 3 inches, a shorter base measuring choose... inches, a longer base measuring choose... inches. the total area of the entire figure is choose... square inches.

Explanation:

Step1: Calculate area of top rectangle

Area = length × width = $4.25 \times 2.75 = 11.6875$

Step2: Calculate area of trapezoid

Area = $\frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times h$. First find the longer base: the top rectangle's length is 4.25 in, so the longer base of the trapezoid is 4.25 in, shorter base is 3 in.
Area = $\frac{1}{2} \times (4.25 + 3) \times 3 = \frac{1}{2} \times 7.25 \times 3 = 10.875$

Step3: Calculate area of middle rectangle

Area = length × width = $4.25 \times 3 = 12.75$

Step4: Calculate area of bottom triangle

Area = $\frac{1}{2} \times \text{base} \times h = \frac{1}{2} \times 2.5 \times 2 = 2.5$

Step5: Sum all areas

Total Area = $11.6875 + 10.875 + 12.75 + 2.5$

Answer:

The trapezoid has a height of 3 inches, a shorter base measuring 3 inches, a longer base measuring 4.25 inches. The total area of the entire figure is 37.8125 square inches.