What is the area of the trapezoid shown in the image?

Question

ScanSolve AI Tutor · Accepted Answer

Anthony, this is the same trapezoid from before.

A trapezoid is a two-dimensional shape. Therefore, it has an area, but it does not have a volume or a surface area (which are properties of three-dimensional objects). I will calculate its area.

From the image:

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 $\text{22.5 cm}^2*$ .

What is the area of the trapezoid shown in the image?

Answer

Step-by-step solution

Use the formula for the area of a trapezoid.

Substitute the given values into the formula.

Perform the calculation.

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