Finding Perimeter and Area of Polygons

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

• 25 m²

• 1.25 m²

• 20 m²

• 16 m²

Find the area of polygon B given similar polygons and the scale factor shown.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?

• 6.67 m²

• 3.33 m²

• 10 m²

• 22.5 m²

The figures below are similar. The labeled sides are corresponding.

If the ratio of the squares' perimeters is 8:3, what is the value of x?

• 8 mm

• 4.5 mm

• 12 mm

• 36 mm

The figures below are similar. The labeled sides are corresponding.

What is the ratio of the areas of the smaller pentagon to the larger pentagon?

• 9:5

• 25:81

• 5:9

• 81:25

Given polygons A and B are similar with corresponding dimensions shown, what is the missing dimension of polygon B?

• 4.1

• 16.7

• 3.3

• 11.1

Find the area of a regular hexagon with a side length of 9 cm.

• 210.4 cm²

• 230.1 cm²

• 237.0 cm²

• 260 cm²

Find the area of a regular hexagon with a perimeter of 48 yards.

• 137.5 yards²

• 145.2 yards²

• 152.9 yards²

• 166.3 yards²

In the formula for calculating the area of a regular polygon, p = permeter, s = length of one side, and n = number of sides.

• true

• false

Find the area of a regular nonagon with a perimeter of 108 miles.

• 805.6 square miles

• 830.7 square miles

• 850.5 square miles

• 890.2 square miles