Question

Find the area of a trapezoid with bases of 6 cm and 10 cm, and height of 4 cm.

• A. \( 24 \, \text{cm}^2 \)
• B. \( 28 \, \text{cm}^2 \)
• C. \( 32 \, \text{cm}^2 \)
• D. \( 36 \, \text{cm}^2 \)

Hint:

The area of a trapezoid is given by the average of the two bases multiplied by the height. Always double-check your calculation of the bases and height!

Answer 1

The Correct Option is C

We are asked to find the area of a trapezoid. The formula for the area of a trapezoid is: \[ \text{Area} = \frac{1}{2} \times ( \text{base}_1 + \text{base}_2 ) \times \text{height}. \] In this problem, the given values are: - Base 1 (\( \text{base}_1 \)) = 6 cm, - Base 2 (\( \text{base}_2 \)) = 10 cm, - Height (\( \text{height} \)) = 4 cm. Substitute the values into the formula: \[ \text{Area} = \frac{1}{2} \times (6 + 10) \times 4. \] Simplify the expression: \[ \text{Area} = \frac{1}{2} \times 16 \times 4. \] First, multiply the bases: \[ 6 + 10 = 16. \] Now, calculate: \[ \frac{1}{2} \times 16 = 8, \] and then multiply by the height: \[ 8 \times 4 = 32. \] Thus, the area of the trapezoid is: \[ \boxed{32 \, \text{cm}^2}. \]