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12 votes
12 votes
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
User Michelle Cannon
by
2.2k points

2 Answers

16 votes
16 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 Curtis Boylan
by
3.3k points
21 votes
21 votes

Answer:

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

User Broonix
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3.3k points