Geometry ACT Final Exam

Front

What is the formula for calculating the perimeter of a rectangle?

Back

Perimeter = 2 * (length + width)

Front

If a rectangle has a length of 5 meters and a width of 3 meters, what is its perimeter?

Back

Perimeter = 2 * (5 + 3) = 16 meters

Front

What is the relationship between the lengths of similar rectangles?

Back

The lengths of similar rectangles are proportional to each other.

Front

If the length of a rectangle is doubled, how does that affect the perimeter?

Back

The perimeter also doubles.

Front

What is the formula for the area of a rectangle?

Back

Area = length * width

Front

If a rectangle has an area of 30 square meters and a width of 5 meters, what is its length?

Back

Length = Area / Width = 30 / 5 = 6 meters

Front

What is the ratio of the sides of a triangle with a perimeter of 70 meters and the longest side measuring 28 meters, if the other two sides are in the ratio of 3:4?

Back

The sides are in the ratio 3:4, meaning if the shorter side is 3x and the longer side is 4x, then 3x + 4x + 28 = 70.

Front

If the perimeter of a rectangle is 280 feet and one side is 50 feet, how do you find the length of the other side?

Back

Use the formula: Perimeter = 2 * (length + width). Rearranging gives width = (Perimeter/2) - length.

Front

What is the perimeter of a rectangle with dimensions 12 feet by 20 feet?

Back

Perimeter = 2 * (12 + 20) = 64 feet.

Front

If two rectangles are similar and one has an area of 60 square inches, how do you find the area of the other rectangle?

Back

Use the ratio of their corresponding sides to find the area.