Question

I need help with finding the area as 8.7 as the height and I also need to know how to check the height is 8.7

Answer 1

The given figure is a trapezium as two sides are parallel and two are non parallel.

The parallel sides of the trapezium are a=3 mi and b=11 mi.

The height of the trapezium is h=8.7 mi.

The expression for the area of the trapezium is,

`\text{Area}=(1)/(2)(a+b)* h`

Substituting the known values in the above expression,

`\begin{gathered} \text{Area}=(1)/(2)(3\text{ mi+11 mil)}*8.7\text{ mi} \\ =\frac{14\text{ mi}}{2}*8.7\text{ mi} \\ =7\text{ mi}*8.7\text{ mi} \\ =60.9mi^2 \end{gathered}`

Thus, the required area is 60.9 square miles.