Question

find the area of the figure.
hint: separate into regular shapes and combine the areas!
a = ?m²
area formulas
b×h
\frac{b×h}{2}

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A_{rectangle}=b\times h\). Here, \(b = 12m\) and \(h=9m\). So, \(A_{rectangle}=12\times9 = 108m^{2}\).

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A_{triangle}=\frac{b\times h}{2}\). Here, \(b = 6m\) and \(h = 6m\). So, \(A_{triangle}=\frac{6\times6}{2}= 18m^{2}\).

Step3: Calculate the total area

The total area \(A=A_{rectangle}+A_{triangle}\). Substitute the values: \(A = 108 + 18=126m^{2}\).

Answer:

\(126\)