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Genrish500 [490]
3 years ago
10

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
Mathematics
2 answers:
Flura [38]3 years ago
6 0

Answer:

40

Step-by-step explanation:

topjm [15]3 years ago
4 0

Answer:

48 cm^2

Step-by-step explanation:

<em>Problem:</em>

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

<em>Solution:</em>

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

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