Question

calculate the area of the composite figure given below. enter the value of the area obtained in cm².
image of composite figure with dimensions: 4 cm (top), 5 cm (side), 7 cm (side), 3 cm (side)

Explanation:

Step1: Split into two rectangles

Divide the figure into a top rectangle and a bottom rectangle.

Step2: Find bottom rectangle dimensions

Width = $7\ \text{cm}$, Height = $7-5=2\ \text{cm}$

Step3: Calculate bottom rectangle area

$\text{Area}_1 = 7 \times 2 = 14\ \text{cm}^2$

Step4: Calculate top rectangle area

$\text{Area}_2 = 4 \times 5 = 20\ \text{cm}^2$

Step5: Sum the two areas

$\text{Total Area} = 14 + 24 = 38\ \text{cm}^2$

Answer:

38