, 16.05.2020kateclaire

# Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z

The area of polygon Z is 99 square units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> area of polygon Z

y ----> area of polygon Y

we have

substitute and solve for x

so

The area of polygon Z is 9 times the area of polygon Y

The area of polygon Z is 99 square units

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It is the side...polygon is the base height

Refer  to the figure

n = number of sides = 5

Consider ΔABO:

The area of a regular polygon is given by the equation:

where:

s = length of side of the polygon

n = number of sides

The area of the polygon can also be computed using the area of triangle ABO and multiplying it by 5.

99 units²

Step-by-step explanation:

Polygon Y has an area of 11 square units. i.e the area of original figure is 11 square units.

Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it polygon Z.

So the original figure is expanded 3 times. So its sides and apothem will be 3 times of the previous length.

As we know that,

Area of the polygon = 1/2 × perimeter × apethom

As along with the sides, the perimeter and apethom also increases 3 times. Hence, the area will increase 3×3 = 9 times.

Therefore, the area of the polygon Z will be,

= 11 × 9

= 99 units²

#CarryOnLearning

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