Question Video: Finding Areas of Trapezoids

The area of a trapezoid is given by 𝐴 = (1/2)β„Ž(𝑏₁ + 𝑏₂). Use the formula to find the area of a trapezoid where β„Ž = 6, 𝑏₁ = 14, and 𝑏₂ = 8.

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Video Transcript

The area of a trapezoid is given by 𝐴 equals a half β„Ž times 𝑏 sub one plus 𝑏 sub two. Use the formula to find the area of a trapezoid where β„Ž equals six, 𝑏 sub one equals 14, and 𝑏 sub two equals eight.

In this question, we’re already given the general formula for the area of a trapezoid, recalling that a trapezoid is a quadrilateral that has a pair of parallel sides. In the formula, 𝑏 sub one and 𝑏 sub two are the two parallel sides. The β„Ž is the perpendicular height. If we wanted to draw the trapezoid that we’re given with β„Ž equals six, 𝑏 sub one equals 14, and 𝑏 sub two equals eight, it might look something like this.

But in this question, it doesn’t really matter what it looks like because we can simply plug in the values that we’re given into the formula. So, we’d have 𝐴 equals a half times six, which was the height, times 14 plus eight, that’s 𝑏 sub one and 𝑏 sub two. A half of six is three, and 14 plus eight is 22. Three times 22 will give us 66. And that’s our answer for the area of a trapezoid. We weren’t given any units in the question but, of course, area units will always be square units.

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