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Calculate the surface area

May 14, 2026Mathematics

ScanSolve AI Answer

Answer

\text{22.5 cm}^2

Step-by-step solution

3 steps

A trapezoid is a two-dimensional shape, so it has an area, not a surface area. "Surface area" refers to the total area of the surfaces of a three-dimensional object. I will calculate the area of the trapezoid.

From the image, we have:

Bottom base ( $b_1$ ) = 6 cm
Top base ( $b_2$ ) = 3 cm
Height ( $h$ ) = 5 cm

Use the formula for the area of a trapezoid.
The formula is $A = \frac{1}{2}(b_1 + b_2)h$ .
Substitute the given values into the formula.
$A = \frac{1}{2}(6 \text{ cm} + 3 \text{ cm})(5 \text{ cm})$
Perform the calculation.
$A = \frac{1}{2}(9 \text{ cm})(5 \text{ cm})$ $A = \frac{1}{2}(45 \text{ cm}^2)$ $A = 22.5 \text{ cm}^2$
The area of the trapezoid is $\text{22.5 cm}^2*$ .