Question

What is the area of this figure?

Answer 1

$4 \times 18$
4 x 18 is 72 cm2

Answer 2

Answer: $146\ cm^2$

Step-by-step explanation:

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

For trapezoid,

Area =$\frac{1}{2}(a+b)h$, where a and b are the opposite parallel sides and h is the height.

Therefore, Area of trapezoid = $\frac{1}{2}(4+14)10=(18)5=90\ cm^2$

For triangle,

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

Area =$\frac{1}{2}bh$, where  b is the base and h is the height.

Area of triangle= $\frac{1}{2}\times(14)(8)=56\ cm^2$

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