Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Split figure into 2 rectangles

We divide the shape into a top square (4x4) and a bottom long rectangle.

Step2: Calculate bottom rectangle length

Total length = $5 + 4 + 5 = 14$ cm

Step3: Compute area of top square

Area = $4 \times 4 = 16$ $\text{cm}^2$

Step4: Compute area of bottom rectangle

Area = $14 \times 3 = 42$ $\text{cm}^2$

Step5: Sum the two areas

Total area = $16 + 42$

Answer:

$58$ $\text{cm}^2$