Calculate the area of the trapezoid with parallel sides 8m and 4m, and non-parallel sides 5m and 3m.

Question

ScanSolve AI Tutor · Accepted Answer

Let's calculate the area of this trapezium.

The formula for the area of a trapezium is:

\text{Area} = \frac{1}{2}(a+b)h

where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the perpendicular height.

Identify the parallel sides and the perpendicular height from the image.
The parallel sides are $a = 8 \text{ m}$ and $b = 4 \text{ m}$ .
The perpendicular height $h = 5 \text{ m}$ .
Substitute these values into the area formula.
$\text{Area} = \frac{1}{2}(8 \text{ m} + 4 \text{ m})(5 \text{ m})$
Calculate the area.
$\text{Area} = \frac{1}{2}(12 \text{ m})(5 \text{ m})$ $\text{Area} = \frac{1}{2}(60 \text{ m}^2)$ $\text{Area} = 30 \text{ m}^2$
The area of the trapezium is $\text{30 m}^2*$ .

Answer