Question

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

Explanation:

Step1: Calculate the area of the square

The formula for the area of a square (or rectangle) is $A = bh$. Here, $b = 16$ in and $h = 9$ in.
$A_{\square}=16\times9 = 144$ in²

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Here, $b = 16$ in (the base of the triangle is the same as the base of the rectangle) and $h = 15$ in.
$A_{\triangle}=\frac{1}{2}\times16\times15=8\times15 = 120$ in²

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.
$A_{Figure}=A_{\square}+A_{\triangle}=144 + 120=264$ in²

Answer:

Area of $\square = 144$ in²
Area of $\triangle = 120$ in²
Area of Figure = $264$ in²