Question

find the area.
area of △ = ? in²
area of □ = in²
remember:
a△ = ½bh
area of figure = in²

Explanation:

Step1: 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 $h = 4$ in.
$$A_{\triangle}=\frac{1}{2}\times12\times4= 24\ \text{in}^2$$

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is $A_{\square}=lw$. Here, $l = 12$ in and $w = 9$ in.
$$A_{\square}=12\times9 = 108\ \text{in}^2$$

Step3: Calculate the area of the composite figure

The area of the composite figure is the sum of the area of the triangle and the area of the rectangle.
$$A = A_{\triangle}+A_{\square}=24 + 108=132\ \text{in}^2$$

Answer:

Area of $\triangle = 24\ \text{in}^2$, Area of $\square = 108\ \text{in}^2$, Area of Figure $= 132\ \text{in}^2$