8.2.1 Geometry Ratio of Areas

Front

What is the ratio of the perimeter of two similar figures if the ratio of their corresponding sides is 5:9?

Back

The ratio of the perimeters is also 5:9.

Front

If a rectangular garden is 45 ft wide and 70 ft long, and the width on a blueprint is 9 in, what is the length on the blueprint?

Back

The length on the blueprint is 14 in.

Tags

CCSS.7.G.A.1

Front

What is the perimeter of a smaller hexagon if the ratio of the perimeters of two similar hexagons is 1:6 and the larger hexagon's perimeter is 36 cm?

Back

The perimeter of the smaller hexagon is 6 cm.

Front

If the area of a red shape is 9 square units and the area of a blue shape is 14 square units, what is the ratio of the area of red to blue?

Back

The ratio of the area of red to blue is 9/14.

Tags

CCSS.7.G.A.1

Front

If the ratio of the diameters of two round dinner plates is 2:5, what is the ratio of their areas?

Back

The ratio of their areas is 4:25.

Tags

CCSS.7.G.A.1

Front

Define 'similar figures' in geometry.

Back

Similar figures are shapes that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

How do you find the ratio of areas of two similar figures?

Back

Square the ratio of their corresponding sides.

Front

If the ratio of the sides of two similar triangles is 3:4, what is the ratio of their areas?

Back

The ratio of their areas is 9:16.

Front

What is the relationship between the ratio of perimeters and the ratio of corresponding sides in similar figures?

Back

The ratio of perimeters is equal to the ratio of corresponding sides.