Question

Calculate the area of the following trapezium.X-YhХ3Search

Answer 1

For this question, we will use the formula for the area of a trapezium:

`\begin{gathered} A=((B+b)h)/(2)\text{.} \\ \text{Where B is the larger base, b is the smaller base and h is the height of the trapezium.} \end{gathered}`

Substituting B=x, b=x-y we get:

`A=((x+x-y)h)/(2)=((2x-y)h)/(2)=(2xh-yh)/(2)=xh-(yh)/(2)\text{.}`

Answer:

`xh-(yh)/(2)\text{.}`