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Find the area????????

Find the area????????-example-1
User Kurt Peek
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2 Answers

4 votes

The height and bases of these two trapezoids are the same, so the trapezoids are congruent. Use the formula for area of a trapezoid to find the area of one of the trapezoids, and then double that to get the area of the entire figure.


Formula for area of a trapezoid:


A = (a + b)/2 * h, where a and b are the bases and h is the height.


The bases and height are given as follows:


a = 16

b = 24

h = 12


Plug these values into the formula accordingly and solve.


A = (a + b)/2 * h

A = (16 + 24)/2 * 12

A = 40/2 * 12

A = 20 * 12

A = 240


The area of one trapezoid is 240 units². Remember, to get the total area, this must be doubled.


240 * 2 = 480


Answer:

b. 480 units²

User Nick Wargnier
by
7.1k points
2 votes

That's two congruent trapezoids. The area of a trapezoid is height times the average of the bases.


A = 2 (\frac 1 2) (16 + 24)(12) = 480 square units


choice b



User Hugh Pearse
by
8.4k points

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