Question

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

Answer 1

C. 256 square units

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=
`x^2` where x is the length of each side.

Area of the polygon STUV =
`16^2 = 256`

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

Answer 2

Answer: C. 256 square units

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:

`Area=(side)^(2)`

4. Therefore, you have that the area is:

`Area=(16units)^2}\\Area=256units^(2)`