Question

Work out the area of this trapezium :

top length: 13cm
height 4cm
base 7cm
right length 5cm

Answer 1

The area of the trapezium is 40 cm².

Explanation:

The formula for the area of a trapezium is:

`\boxed{A=(1)/(2)(a+b)h}`

where:

• A is the area.
• a and b are parallel bases.
• h is the height.

Given the parallel bases are 13 cm and 7 cm in length, and the height is 4 cm, substitute these values into the formula and solve for A:

`\begin{aligned}A&=(1)/(2)(13+7) * 4\\\\&=(1)/(2)(20) * 4\\\\&=10 * 4\\\\&=40\; \sf cm^2\end{aligned}`

Therefore, the area of the trapezium is 40 cm².