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Snowcat [4.5K]
3 years ago
13

Find the area of the trapezoid below.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer: 54 cm²

Step-by-step explanation: In this problem, we're asked to find the area of the trapezoid shown. A trapezoid is a quadrilateral with one pair of parallel sides.

The formula for the area of a trapezoid is shown below.

Area =\frac{1}{2} (^{b} 1 + ^{b}2)h

The <em>b's</em> represent the bases which are the parallel sides and <em>h</em> is the height.

So in the trapezoid shown, the bases are 6 cm and 12 cm and the height is 6 cm. Plugging this information into the formula, we have \frac{1}{2} (6 cm +12cm)(6 cm).

Next, the order of operations tell us that we must simplify inside the parentheses first. 6 cm + 12 cm is 18 cm and we have \frac{1}{2}(18 cm)(6 cm).

\frac{1}{2} (18 cm) is 9 cm and we have 9 cm · 6 cm of 54 cm²

So the area of the trapezoid shown is 54 cm².

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