jaielyn
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The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

The area of the smaller trapezoid is 771 m2.
a.
4,096 m2
b.
4,028 m2
c.
784 m2
d.
21 m2

The figures are similar The area of one figure is given Find the area of the other figure to the nearest whole number The area of the smaller trapezoid is 771 m class=

Respuesta :

luisejr77

Answer:  Option b.

Step-by-step explanation:

First, you need to calculate the ratio of the area. This is:

[tex]ratio=(\frac{64}{28})^2\\\\ratio=\frac{256}{49}[/tex]

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

[tex]\frac{256}{49}=\frac{x}{771}[/tex]

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

 [tex]x=(771)(\frac{256}{49})\\\\x=4,028m^2[/tex]

akposevictor

To the nearest whole number, the area of the other similar figure is: b. 4,028 m².

What is the Area of Similar Figures?

The ratio of the areas of two similar figures equals the ratio of the square of their corresponding sides.

Thus:

Let x represent the area of the other figure.

Therefore:

771/x = (28²)/(64²)

771/x = 784/4,096

x = (771 × 4,096)/784

x = 4,028

Therefore, to the nearest whole number, the area of the other similar figure is: b. 4,028 m².

Learn more about similar figures on:

https://brainly.com/question/4381215

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