Question

find the area.
first, find the area of the triangle.
remember:
$a_\triangle=\frac{1}{2}bh$
triangle + rectangle = total area units²

Explanation:

Step1: Calculate the area of the triangle

Using the formula \(A_{\triangle}=\frac{1}{2}bh\), where \(b = 6\) and \(h=8\).

$$ A_{\triangle}=\frac{1}{2}\times6\times8 = 24 $$

Step2: Calculate the area of the rectangle

Using the formula \(A_{\text{rectangle}}=l\times w\), where \(l = 13\) and \(w = 8\).

$$ A_{\text{rectangle}}=13\times8=104 $$

Step3: Calculate the total area

Add the area of the triangle and the rectangle.

$$ A_{\text{total}}=A_{\triangle}+A_{\text{rectangle}}=24 + 104=128 $$

Answer:

The area of the triangle is \(24\) units², the area of the rectangle is \(104\) units², and the total area is \(128\) units².