Question

find the area.
6 in
6 in
8 in
12 in
10 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 \( s = 6 \) in.
\( A_{\square} = 6^2 = 36 \)

Step2: Calculate area of triangle

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

Step3: Calculate total area of figure

Add the area of the square and the area of the triangle.
Total area = \( 36 + 48 = 84 \)

Answer:

Area of \( \square = 36 \) \( \text{in}^2 \)
Area of \( \triangle = 48 \) \( \text{in}^2 \)
Area of Figure = \( 84 \) \( \text{in}^2 \)