Question

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

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle ($A_{\square}=bh$). Here, $b = 18$ in and $h = 15$ in.
$$A_{\square}=18\times15 = 270\text{ in}^{2}$$

Step2: Calculate the area of the triangle

The formula for the area of a triangle is $A_{\triangle}=\frac{1}{2}bh$. Here, $b = 12$ in and $h = 9$ in.
$$A_{\triangle}=\frac{1}{2}\times12\times9= 6\times9=54\text{ in}^{2}$$

Step3: Calculate the area of the figure

The area of the figure is the sum of the area of the rectangle and the area of the triangle.
$$A = A_{\square}+A_{\triangle}=270 + 54=324\text{ in}^{2}$$

Answer:

Area of $\square = 270$ in$^{2}$
Area of $\triangle = 54$ in$^{2}$
Area of Figure $= 324$ in$^{2}$