Question

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

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram \(A = bh\). Here, \(b = 15\) in and \(h=9\) in.
\(A_{\square}=15\times9 = 135\) \(in^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle \(A=\frac{1}{2}bh\). Here, \(b = 16\) in and \(h = 15\) in.
\(A_{\triangle}=\frac{1}{2}\times16\times15=8\times15 = 120\) \(in^{2}\)

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the parallelogram and the area of the triangle.
\(A = A_{\square}+A_{\triangle}=135 + 120=255\) \(in^{2}\)

Answer:

Area of \(\square = 135\) \(in^{2}\)
Area of \(\triangle=120\) \(in^{2}\)
Area of Figure \(=255\) \(in^{2}\)