Question

Howard makes a flag by sewing two pieces of fabric together. Each piece of fabric is a right trapezoid of the same size. The dimensions,

centimeters (cm), of the flag are shown.
20 cm
3 cm
*
11 cm
What is the area, in square centimeters, of the flag?

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Answer 1

The area of the flag is 253 cm².

Step-by-step explanation:

To find the area of the flag, we need to find the area of one piece of fabric and then multiply it by 2. Each piece of fabric is a right trapezoid. The formula for the area of a trapezoid is:

Area = (base1 + base2) * height / 2

Using the given dimensions, the area of one piece of fabric is:

(20 + 3) * 11 / 2 = 23 * 11 / 2 = 253 / 2 = 126.5 cm²

Since there are two pieces of fabric, the total area of the flag is:

2 * 126.5 = 253 cm²