Answer:
The area of the trapezium is 40 cm².
Step-by-step explanation:
The formula for the area of a trapezium is:
[tex]\boxed{A=\dfrac{1}{2}(a+b)h}[/tex]
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:
[tex]\begin{aligned}A&=\dfrac{1}{2}(13+7) \times 4\\\\&=\dfrac{1}{2}(20) \times 4\\\\&=10 \times 4\\\\&=40\; \sf cm^2\end{aligned}[/tex]
Therefore, the area of the trapezium is 40 cm².
