Question

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

Answer 1

The total area of the figure is 68.5 square centimeters.

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) + (1)/(2)\cdot (2)^(2) +(1)/(2)\cdot (3)\cdot (7)+(9)\cdot (5)+(1)/(2)\cdot (2)\cdot (9)`

`A = 68.5\,cm^(2)`

The total area of the figure is 68.5 square centimeters.