Question

what is the area?
3 cm
6 cm
5 cm
square centimeters
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work it out
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Explanation:

Step1: Identify the shape

The figure is a trapezoid with two parallel sides (bases) of lengths 3 cm and 5 cm, and the height (distance between the bases) is 6 cm.

Step2: Use the trapezoid area formula

The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height.

Substitute $a = 3$ cm, $b = 5$ cm, and $h = 6$ cm into the formula:

$A = \frac{(3 + 5)}{2} \times 6$

First, calculate the sum of the bases: $3 + 5 = 8$

Then, divide by 2: $\frac{8}{2} = 4$

Finally, multiply by the height: $4 \times 6 = 24$

Answer:

24