Problem

A trapezoid has bases of lengths 6 cm and 10 cm, and a height of 4 cm. What is the area of the trapezoid?

Answer

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Answer

Step 3: Simplify the expression to find the area: \(A = \frac{1}{2}(16 \,\text{cm})4 \,\text{cm} = 32 \,\text{cm}^2\)

Steps

Step 1 ：Step 1: Recall the formula for the area of a trapezoid: \(A = \frac{1}{2}(b_1 + b_2)h\), where \(b_1\) and \(b_2\) are the lengths of the bases and \(h\) is the height.

Step 2 ：Step 2: Substitute the given values into the formula: \(A = \frac{1}{2}(6 \,\text{cm} + 10 \,\text{cm})4 \,\text{cm}\).

Step 3 ：Step 3: Simplify the expression to find the area: \(A = \frac{1}{2}(16 \,\text{cm})4 \,\text{cm} = 32 \,\text{cm}^2\)

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