Question

what is the area of this figure? square centimeters

Explanation:

Step1: Divide into rectangles and triangle

Divide the figure into 3 rectangles and 1 triangle.

Step2: Calculate rectangle areas

Rectangle 1 area: $3\times14 = 42$ $cm^2$. Rectangle 2 area: $4\times(6 + 4)=40$ $cm^2$. Rectangle 3 area: $4\times8 = 32$ $cm^2$.

Step3: Calculate triangle area

Triangle area: $\frac{1}{2}\times(5 + 4)\times10=45$ $cm^2$.

Step4: Sum up areas

$42+40 + 32+45=159$ $cm^2$.

Answer:

159