10-4: Perimeters and Areas of Similar Figures

Find the ratio (red to blue) of the perimeter.

• 9/14
• 14/9
• 196/81
• 81/196

Find the ratio (blue to red) of the area.

• 11/6

• 6/11

• 121/36

• 36/121

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

The figures shown are similar. The areas of each figure is given.

What is the ratio of the side length of the smaller triangle to the larger triangle?

• 4:49

• 2:7

• 1:7

• 1:25

Find the area of polygon B given similar polygons and the scale factor is shown. Round your answer to the nearest tenth.

• 23.0 m²

• 18 m²

• 18.4 m²

• 12.5 m²

The figures are similar. Find the area of the smaller rectangle.

• 20 in²

• 4 in²

• 10 in²

• 15 in²

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

What is the perimeter of the smaller hexagon?

• 5 cm

• 1/6 cm

• 6 cm

• not enough info

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

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

• 9:5

• 25:81

• 5:9

• 81:25

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

What is the perimeter of the smaller triangle?

• 23.8 mm

• 10.2 mm

• 6.67 mm

• 4.3 mm

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