Question

Find the area of the trapezoid __ m squared simplify the answer

Answer 1

A trapezoid is given with base lengths of 10m and 14m, and a height of 9m.

It is required to find the area of the trapezoid.

Recall that the area of a trapezoid with base lengths b₁, b₂, and height h is given by:

`A=(1)/(2)(b_1+b_2)h`

Substitute b₁=14, b₂=10, and h=9 into the formula:

`\begin{gathered} A=(1)/(2)(14+10)\cdot9 \\ \Rightarrow A=(1)/(2)\cdot24\cdot9=108 \end{gathered}`

Hence, the required area is 108 m².

The answer is 108 m².