What is the area of the composite shape shown below?

Question

ScanSolve AI Tutor · Accepted Answer

To find the area of the composite shape, we can split it into two rectangles.

Divide the L-shaped figure into two rectangles.
We can split the shape horizontally into a top rectangle and a bottom rectangle.
Calculate the area of the top rectangle.
The top rectangle has a width of $3 \text{ cm}$ and a height of $7 \text{ cm}$ .
Area of top rectangle = $\text{width} \times \text{height}$
$A_1 = 3 \text{ cm} \times 7 \text{ cm} = 21 \text{ cm}^2$
Calculate the area of the bottom rectangle.
The bottom rectangle has a width of $15 \text{ cm}$ and a height of $2 \text{ cm}$ .
Area of bottom rectangle = $\text{width} \times \text{height}$
$A_2 = 15 \text{ cm} \times 2 \text{ cm} = 30 \text{ cm}^2$
Add the areas of the two rectangles to find the total area.
Total Area = $A_1 + A_2$
$A = 21 \text{ cm}^2 + 30 \text{ cm}^2 = 51 \text{ cm}^2$
The area of the shape is $\text{51 cm}^2$ .

Answer