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 \(s = 6\) in.
\(A_{\square}=6\times6 = 36\) \(in^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\), where \(b = 12\) in and \(h = 8\) in.
\(A_{\triangle}=\frac{1}{2}\times12\times8=6\times8 = 48\) \(in^{2}\)

Step3: Calculate the total area of the figure

The total area is the sum of the area of the square and the area of the triangle.
\(A_{total}=A_{\square}+A_{\triangle}=36 + 48=84\) \(in^{2}\)

Answer:

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