Question

find the area of the figure. round to the nearest tenth, if necessary.

Explanation:

Step1: Split the figure into shapes

The figure can be split into a triangle and a trapezoid.

Step2: Calculate the base of the triangle

The base of the triangle is $20-(5 + 5)=10$ m.

Step3: Calculate the area of the triangle

The formula for the area of a triangle is $A_{triangle}=\frac{1}{2}\times base\times height$. Here, base = 10 m and height = 12 m. So $A_{triangle}=\frac{1}{2}\times10\times12 = 60$ m².

Step4: Calculate the area of the trapezoid

The formula for the area of a trapezoid is $A_{trapezoid}=\frac{(a + b)h}{2}$, where $a$ and $b$ are the parallel - sides and $h$ is the height. Here, $a = 5$ m, $b = 20$ m, and $h = 12$ m. So $A_{trapezoid}=\frac{(5 + 20)\times12}{2}=\frac{25\times12}{2}=150$ m².

Step5: Calculate the total area

The total area of the figure $A = A_{triangle}+A_{trapezoid}=60 + 150=210$ m².

Answer:

$210$ m²