Question

aiden drew the figure below for a school art project. what is the total area of the figure? 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, and...

Explanation:

Step1: Calculate area of top rectangle

Area = length × width = $4.25 \times 2.75 = 11.6875$ in²

Step2: Calculate area of trapezoid

Area = $\frac{1}{2} \times (\text{sum of bases}) \times \text{height}$. First find the longer base: $12 - 4.25 - 3 = 4.75$ in. Then $\frac{1}{2} \times (4 + 4.75) \times 3 = 13.125$ in²

Step3: Calculate area of middle rectangle

Area = length × width = $4.25 \times 3 = 12.75$ in²

Step4: Calculate area of bottom triangle

Area = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 2.5 \times 2 = 2.5$ in²

Step5: Sum all areas

Total Area = $11.6875 + 13.125 + 12.75 + 2.5$

Answer:

$40.0625$ square inches