Question

00 4 5 256 283
28 in
5 in
7 in
17 in
10 in
7 in
11 in
5 in
6 in
16 in
total area = square inches

Explanation:

Step1: Split shape into 5 parts

Divide the figure into: top rectangle, middle hollow rectangle, bottom rectangle, left triangle, right triangle.

Step2: Calculate top rectangle area

Area: $28 \times 5 = 140$

Step3: Calculate bottom rectangle area

Area: $16 \times 5 = 80$

Step4: Calculate left triangle area

Base = $28 - 11 - 17 = 0$? Correct base: vertical side = $10 + 5 - 5 = 10$, so area: $\frac{1}{2} \times 10 \times 6 = 30$

Step5: Calculate right triangle area

Area: $\frac{1}{2} \times (7+7) \times 7 = 49$

Step6: Subtract hollow rectangle area

Hollow area: $17 \times 10 = 170$

Step7: Sum and adjust total area

Total = $140 + 80 + 30 + 49 - 170 = 283$

Answer:

283