Question

Find the area of the figure below

Answer 1

96m²

Explanation:

Hello there!

The figure shown is an irregular figure so to make it easier we are going to split the irregular figure into two regular figures

A triangle with a height of 6 m and a base of 12 m

and a parallelogram with a base of 10m and a height of 6m

Now lets find the area of each individual shape

For the triangle:

The area of a triangle can be calculated using this formula

`A=(bh)/(2)` where b = base and h = height

Knowing the base and height all we have to do is plug in the values into the formula

`A=(6*12)/(2) \\6*12=72\\(72)/(2) =36`

so we can conclude that the area of the triangle is 36 m²

Now lets find the area of the parallelogram

The area of a parallelogram can simply be found my multiplying the base and height

so A = 10 * 6

10 * 6 = 60

so the area of the parallelogram is 60 m²

Finally we add the two areas together

60 + 36 = 96m²

Thus the area of the irregular figure is 96m²