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nexus9112 [7]
3 years ago
9

omposite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base le

ngths 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
1 answer:
adelina 88 [10]3 years ago
4 0

Answer:Option C:

64 \ cm^2 is the area of the composite figure

It is given that the composite figure is divided into two congruent trapezoids.

The measurements of both the trapezoids are

b_1=10 \ cm

b_2=6 \ cm and

h=4 \ cm

Area of the trapezoid = \frac{1}{2} (b_1+b_2)h

Substituting the values, we get,

A=\frac{1}{2} (10+6)4

A=\frac{1}{2} (16)4

A=32 \ cm^2

Thus, the area of one trapezoid is $32 \ {cm}^{2}$

The area of the composite figure can be determined by adding the area of the two trapezoids.

Thus, we have,

Area of the composite figure = Area of the trapezoid + Area of the trapezoid.

Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2

Thus, the area of the composite figure is 64 \ cm^2

Step-by-step explanation:

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A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.

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  • We can eliminate expression A because it did not use the formula 1+x. It only uses the decimal form of the percentage.
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Now, we can test the math for expressions D and E to see if either of these will equal $528.

Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.

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