Question

what is the area of this figure?
write your answer using decimals, if necessary.

Explanation:

Step1: Split into rectangle + trapezoid

Divide the figure into a left rectangular section and a right trapezoidal section.

Step2: Calculate rectangle dimensions

Total height of rectangle: $5 + 3 + 4 = 12$ m; width = $7$ m.
Area of rectangle: $7 \times 12 = 84$ m²

Step3: Calculate trapezoid dimensions

Trapezoid bases: $12$ m, $12 + 7 = 19$ m; height = $9$ m.
Area of trapezoid: $\frac{1}{2} \times (12 + 19) \times 9 = \frac{1}{2} \times 31 \times 9 = 139.5$ m²

Step4: Sum the two areas

Total area = $84 + 139.5$

Answer:

$223.5$ square meters