Question

A composite figure is shown.

A five-sided figure with two parallel bases. The top one is 5 centimeters. The vertical height between these bases is 2.7 centimeters. That vertical height intersects the bottom base, leaving 3 centimeters between it and the vertex to the left. The side on the right is the longest at 6.8 centimeters. There is a horizontal line connecting the vertex of the bottom base to the 6.8-centimeter side and that line is 3.4 centimeters.

Which of the following represents the total area of the figure?

24.52 cm2
31.49 cm2
42.07 cm2
49.04 cm2

Answer 1

The correct answer is B.

Explanation:

I got this correct on the test.

Answer 2

Answer:
B

Explanation:

The figure you are describing is a trapezoid. To calculate the area of a trapezoid, you can use the formula: (base1 + base2) x height / 2.

In this case, the two parallel sides are the bases of the trapezoid, and the height is the perpendicular distance between the bases.

Given the information in the problem, the top base is 5 centimeters, the bottom base is 3 centimeters + 3.4 centimeters = 6.4 centimeters, and the height is 2.7 centimeters.

So we can calculate the area of the trapezoid as: (5 cm + 6.4 cm) x 2.7 cm / 2 = (11.4 cm) x 2.7 cm / 2 = 30.78 cm2

Therefore, the total area of the figure is 30.78 cm2. Among the options given, only option B, "31.49 cm2", is close to 30.78 cm2 and it is the correct answer.