Question

Find the area of the figure. Assume all measurements are centimeters.

Answer 1

Answer:

The total area of the figure is 68.5 square centimeters.

Step-by-step explanation:

To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:

$A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}$ (1)

Where all areas are measured in square centimeters.

Please notice that $A_{2}$, $A_{3}$ and $A_{5}$ are triangles and $A_{1}$ and $A_{4}$ are rectangles.

The resulting area is calculated below:

$A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)$

$A = 68.5\,cm^{2}$

The total area of the figure is 68.5 square centimeters.