169k views
3 votes
A composite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base lengths of 10 centimeters and 6 centimeters, and a height of 4 centimeters. Trapezoid area: A = one-half (b 1 + b 2) h What is the area of this composite figure? 32 centimeters squared 40 centimeters squared 64 centimeters squared 80 centimeters squared

2 Answers

3 votes

Answer:

64cm2

Explanation:

I just did the quiz! its option c or 64cm2

Hope this helps

aryy<3

User Moselle
by
5.3k points
5 votes

Answer:

48 cm^2

Explanation:

Problem:

A composite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base lengths of 10 cm and 6 cm, and a height of 4 cm. Trapezoid area: A = (1/2)(b1 + b2)h What is the area of this composite figure? 32 cm squared 40 cm squared 64 cm squared 80 cm squared

Solution:

The problem gives you all the information you need.

area of trapezoid = A = (1/2)(b1 + b2)h

b1 = 10 cm

b2 = 6 cm

h = 4 cm

Also, keep in mind the composite figure is made up of two trapezoids, so after we find the area of one trapezoid, we will double it to find the total area.

A = (1/2)(10 cm + 6 cm)(4 cm) = 24 cm^2

The area of 1 trapezoid is 24 cm^2.

The total area = 2 * 24 cm^2 = 48 cm^2

User Evkwan
by
5.1k points