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Calculate the area of Fig. 1.2.

June 10, 2026Mathematics

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Answer

\text{27 cm}^2

4 steps

Identify the lengths of the parallel sides and the height of the trapezoid.
The lengths of the parallel sides are $a = 5$ cm and $b = 13$ cm.
The height of the trapezoid is $h = 3$ cm.
Use the formula for the area of a trapezoid.
The area $A$ of a trapezoid is given by the formula:
$A = \frac{1}{2}(a+b)h$
Substitute the given values into the formula.
$A = \frac{1}{2}(5 \text{ cm} + 13 \text{ cm})(3 \text{ cm})$
Calculate the area.
$A = \frac{1}{2}(18 \text{ cm})(3 \text{ cm})$ $A = 9 \text{ cm} \times 3 \text{ cm}$ $A = 27 \text{ cm}^2$
The area of Fig. 1.2 is $\boxed{\text{27 cm}^2}$ .

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