Question

_____10 m_____
| ____ |
| | | | 12 m
| | 7m | |
|____| |____|
4 m 4 m
The area of this figure is ____ sq. meters.

Answer 1

The figure appears to be an irregular polygon.

For us to be able to determine its area, we will be cutting the figure into three parts.

We get,

Figure A: 4 m x 7 m

Figure B: 4 m x 7 m

Figure C: 10 m x 5 m

Let's now determine the area:

$\text{ Area = Area of A + Area of B + Area of C}$$\text{ = (4 x 7) + (4 x 7) + (10 x 5)}$$\text{ = 28 + 28 + 50}$$\text{ Area = 106 m}^2$

Therefore, the area of the figure is 106 m²