Properties of Rectangles

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.

Front

What are the properties of a rectangle?

Back

1. Opposite sides are equal in length. 2. All angles are right angles (90 degrees). 3. Diagonals are equal in length and bisect each other.

Front

How do you calculate the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

Are all rectangles parallelograms?

Back

Yes, all rectangles are parallelograms because they have opposite sides that are equal and parallel.

Front

What is the relationship between the diagonals of a rectangle?

Back

The diagonals of a rectangle are congruent (equal in length).

Front

If the length of a rectangle is 10 cm and the width is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

If the perimeter of a rectangle is 38 cm and the length is 10 cm, what is the width?

Back

Width = (Perimeter/2) - Length = (38 cm/2) - 10 cm = 9 cm.

Front

What is the length of the diagonals in a rectangle with length 6 cm and width 8 cm?

Back

Diagonal = √(length² + width²) = √(6² + 8²) = √(36 + 64) = √100 = 10 cm.

Front

True or False: The diagonals of a rectangle are perpendicular to each other.

Back

False. The diagonals of a rectangle are not perpendicular; they are equal in length.