Perimeter & Line Segments on the ACT

Front

What is the formula for the perimeter of a parallelogram?

Back

Perimeter = 2 * (length + width)

Front

If the perimeter of a parallelogram is 76 inches and one side is 17 inches, how do you find the lengths of the other sides?

Back

Subtract the known side from the total perimeter and divide by 2 to find the lengths of the other two sides.

Front

What is the ratio of the lengths of two segments if TU:UV = 4:7?

Back

The ratio of TU to TV can be found by adding the lengths of TU and UV.

Front

How do you calculate the perimeter of a square if you know the perimeter of a regular pentagon?

Back

The perimeter of the pentagon is 5 times the length of one side. Set this equal to 4 times the length of one side of the square.

Front

What is the formula for the area of a rectangle?

Back

Area = length * width

Front

If a rectangle has dimensions of 85 feet by 175 feet, what is its perimeter?

Back

Perimeter = 2 * (length + width) = 2 * (85 + 175) = 520 feet.

Front

What is the relationship between the lengths of segments XY and YZ if XY:YZ = 1:6?

Back

The total length XZ is the sum of XY and YZ.

Front

How do you find the length of a segment when given a ratio?

Back

Use the ratio to express the lengths in terms of a variable and solve for the variable.

Front

What is the perimeter of a regular pentagon with each side measuring 72 millimeters?

Back

Perimeter = 5 * side length = 5 * 72 = 360 millimeters.

Front

If the ratio of two segments is 4:11, what does this imply about their lengths?

Back

For every 4 units of length in the first segment, there are 11 units in the second segment.