Perimeter & Line Segments on the ACT

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

If the length of a rectangle is 8 inches longer than its width and the perimeter is 36 inches, how do you find the width?

Back

Let width = w. Then length = w + 8. Set up the equation: 2(w + (w + 8)) = 36.

Front

What is the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the sum of the lengths of all its sides.

Front

How do you calculate the perimeter of a parallelogram?

Back

Perimeter = 2(base + height) where base and height are the lengths of the sides.

Front

What is the relationship between the sides of a rectangle and its perimeter?

Back

The perimeter is directly related to the lengths of the sides; increasing the length or width increases the perimeter.

Front

What is the perimeter of a rectangle with dimensions 85 feet by 175 feet?

Back

Perimeter = 2(85 + 175) = 520 feet.

Front

How do you find the perimeter of a figure with intersecting line segments?

Back

Add the lengths of all the line segments that form the perimeter.

Front

What is the significance of right angles in calculating perimeter?

Back

Right angles help in determining the lengths of sides in geometric figures, especially rectangles and squares.

Front

If a quadrilateral has sides of lengths 7, 6, √53, and 8, how do you find its perimeter?

Back

Add all the side lengths: 7 + 6 + √53 + 8.

Front

What is the perimeter of a parallelogram with a side length of 17 inches and a total perimeter of 76 inches?

Back

The other two sides must also be 21 inches each, since Perimeter = 2(17 + x) = 76.