Question

What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is cm².

Answer 1

`4 * 18`
4 x 18 is 72 cm2

Answer 2

Answer:
`146\ cm^2`

Explanation:

In the given figure, We have a trapezoid and a triangle sharing a common base of 14 cm.

For trapezoid,

Area =
`(1)/(2)(a+b)h`, where a and b are the opposite parallel sides and h is the height.

Therefore, Area of trapezoid =
`(1)/(2)(4+14)10=(18)5=90\ cm^2`

For triangle,

The height of triangle H =18 cm - 10 cm = 8 cm

Area =
`(1)/(2)bh`, where b is the base and h is the height.

Area of triangle=
`(1)/(2)*(14)(8)=56\ cm^2`

Total area of the figure =
`90+56=146\ cm^2`