What is the area of polygon STUV?

A.
225 square units
B.
250 square units
C.
256 square units
D.
280 square units
E.
300 square units

Question

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Respuesta :

carlosego carlosego · Answer 1 · 2018-11-01T20:27:37+01:00

Answer: C. 256 square units

Step-by-step explanation:

1. Each side of the polygon STUV measures 16 units, as you can see in the figure attached.

2. Therefore, the polygon STUV is a square, because its four sides have the same measure.

3. Then, you can apply the formula for calculate the area of a square, which is:

[tex]Area=(side)^{2}[/tex]

4. Therefore, you have that the area is:

[tex]Area=(16units)^2}\\Area=256units^{2}[/tex]

alinakincsem alinakincsem · Answer 2 · 2018-11-04T00:40:35+01:00

Answer:

C. 256 square units

Step-by-step explanation:

In geometrical terms, a polygon is shape or a figure with minimum three or typically 5 straight or definite sides.

However, the given polygon STUV is a square as we can see from the graph that each of its sides are of equal length i.e. 16 units.

We know that the area of a square= [tex]x^2[/tex] where x is the length of each side.

Area of the polygon STUV = [tex]16^2 = 256[/tex]

Therefore, area of the given polygon is 256 square units.