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

The formula for the area of a triangle is \(A_{\triangle}=\frac{1}{2}bh\). Here, \(b = 6\) and \(h=8\).

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

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A_{rectangle}=l\times w\). Here, \(l = 13\) and \(w = 8\).

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

Step3: Calculate the total area

The total area \(A = A_{\triangle}+A_{rectangle}\)

$$ A=24 + 104=128 $$

Answer:

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