Question Video: Finding Areas of Trapezoids | Nagwa Question Video: Finding Areas of Trapezoids | Nagwa

# Question Video: Finding Areas of Trapezoids

The area of a trapezoid is given by π΄ = (1/2)β(πβ + πβ). Use the formula to find the area of a trapezoid where β = 6, πβ = 14, and πβ = 8.

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### Video Transcript

The area of a trapezoid is given by π΄ equals a half β times π sub one plus π sub two. Use the formula to find the area of a trapezoid where β equals six, π sub one equals 14, and π sub two equals eight.

In this question, weβ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, π sub one and π sub two are the two parallel sides. The β is the perpendicular height. If we wanted to draw the trapezoid that weβre given with β equals six, π sub one equals 14, and π sub two equals eight, it might look something like this.

But in this question, it doesnβt really matter what it looks like because we can simply plug in the values that weβre given into the formula. So, weβd have π΄ equals a half times six, which was the height, times 14 plus eight, thatβs π sub one and π sub two. A half of six is three, and 14 plus eight is 22. Three times 22 will give us 66. And thatβs our answer for the area of a trapezoid. We werenβt given any units in the question but, of course, area units will always be square units.

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