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Each figure below is made up of congruent
trapezoids. Find the area of the figure.

Each figure below is made up of congruent trapezoids. Find the area of the figure-example-1

2 Answers

5 votes

Answer:

108 cm^2

Explanation:

The formula for calculating the area of a trapezoid is (a+b)*h/2, a and b being the bases and h being the height.

Since the height of the figure is 12 cm, the height of each trapezoid is 12/2 = 6 cm because the trapezoids are congruent.

With this information we can calculate each trapezoid's area: (base 1 + base 2)*height / 2 = (6+12)*6/2 = 18*3 = 54 cm^2.

We know the area of one trapezoid is 54 cm^2, so two trapezoids would have an area of 108 cm^2 (the figure is composed of two trapezoids).

User Lodder
by
3.5k points
5 votes

Answer:

the area of trapizoid is 54 and all togather will be 108

User Stuart Sierra
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2.9k points