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:

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

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

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

Answer:

$xh-\frac{yh}{2}\text{.}$