Question

warm - up
what is the total area of the figure shown?
type the correct answer in the box. use numerals instead of words.
the total area of the figure is square meters.

Explanation:

Step1: Calculate area of rectangle

The rectangle has length $l = 12$m and width $w=9$m. The area of a rectangle $A_{rect}=l\times w$. So $A_{rect}=12\times9 = 108$ square - meters.

Step2: Calculate base and height of triangle

The base of the triangle $b=9 + 5+5=19$m and the height of the triangle $h = 14$m.

Step3: Calculate area of triangle

The area of a triangle $A_{tri}=\frac{1}{2}\times b\times h$. So $A_{tri}=\frac{1}{2}\times19\times14=133$ square - meters.

Step4: Calculate total area

The total area of the figure $A = A_{rect}+A_{tri}$. So $A=108 + 133=241$ square - meters.

Answer:

241