Perimeter and Area Ratios

The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths  is 10:7. What is the ratio of the areas? 

• 200: 494

• 100 : 28

• 832 : 48

• 100 : 49

A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?

• Perimeter: 34 in
  Area: 58 in^₂

• Perimeter: 39 in.
  Area: 93.5 in²

• Perimeter: 15 in
  Area: 67 in²

• Perimeter: 54 in
  Area: 834 in ²

The pair of figures to the right are similar. What is the ratio of the perimeters and the ratio of the​ areas?

• The ratio of the areas is 16/100.

• The ratio of the perimeters is 2/5.

• The ratio of the areas is 4/25.

• The ratio of the perimeters is 4/10.

The figures are similar. If the perimeter of the larger rectangle is 33.2 inches, what is the perimeter of the smaller rectangle?

• 19.36

• 17.6

• 68.89

• 8.8

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

What is the ratio of the perimeters of two similar figures?

• Ratio of corresponding side lengths

• Ratio of volumes.

• Ratio of areas.

• Ratio of corresponding angles.

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

• Perimeter:  $\frac{4}{9}$     ; Area:  $\frac{2}{3}$ 

• Perimeter:  $\frac{2}{3}$    ; Area:  $\frac{2}{3}$  

• Perimeter:  $\frac{4}{9}$     ; Area:  $\frac{4}{9}$  

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

• ⅘

• ⅚

• ½

• ¾

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