Question

find the area.
8 in
8 in
8 in
12 in
area of □ = ? in²
area of △ = in²
remember:
a□ = s²
area of figure = in²

Explanation:

Step1: Calculate area of square

The formula for the area of a square is \( A_{\square} = s^2 \), where \( s \) is the side length. Here, \( s = 8 \) in.
\( A_{\square} = 8^2 = 64 \) in².

Step2: Calculate area of triangle

The formula for the area of a triangle is \( A_{\triangle} = \frac{1}{2} \times base \times height \). The base is 8 in and the height is 12 in.
\( A_{\triangle} = \frac{1}{2} \times 8 \times 12 = 48 \) in².

Step3: Calculate area of figure

The area of the figure is the sum of the area of the square and the area of the triangle.
\( \text{Area of Figure} = 64 + 48 = 112 \) in².

Answer:

Area of \( \square = 64 \) in²
Area of \( \triangle = 48 \) in²
Area of Figure = \( 112 \) in²