Question

find the area. 15 in 9 in 12 in 15 in 18 in area of □ = ? in² area of △ = in² remember: a□ = bh area of figure = in²

Explanation:

Step1: Calculate area of rectangle

The formula for the area of a rectangle $A_{rect}=bh$. Here, $b = 18$ in and $h=15$ in. So $A_{rect}=18\times15 = 270$ in².

Step2: Calculate area of triangle

The formula for the area of a triangle $A_{tri}=\frac{1}{2}bh$. Here, $b = 12$ in and $h = 9$ in. So $A_{tri}=\frac{1}{2}\times12\times9=54$ in².

Step3: Calculate area of the figure

The area of the figure is the sum of the area of the rectangle and the area of the triangle. So $A = A_{rect}+A_{tri}=270 + 54=324$ in².

Answer:

Area of $\square=270$ in²
Area of $\triangle = 54$ in²
Area of Figure $=324$ in²