Question

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

Explanation:

Step1: Calculate the area of the square

The formula for the area of a square is \(A = s^{2}\), where \(s = 8\) in.
\(A_{\square}=8\times8 = 64\) \(in^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b = 8\) in and \(h = 8\) in.
\(A_{\triangle}=\frac{1}{2}\times8\times8=32\) \(in^{2}\)

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the square and the area of the triangle.
\(A = A_{\square}+A_{\triangle}=64 + 32=96\) \(in^{2}\)

Answer:

Area of \(\square = 64\) \(in^{2}\)
Area of \(\triangle=32\) \(in^{2}\)
Area of Figure \(=96\) \(in^{2}\)