Question

Draw a rectangle that has a area of 8 square units and a perimeter of 12 units.What are the side lengths of the rectangle

Answer 1

Side lengths = 2 square units and 4 square units

Explanation:

The formula for the area of a rectangle is given by:

A = lw, where

• A is the area in square units,
• l is the length,
• and w is the width.

The formula for the perimeter of a rectangle is given by:

P = 2l + 2w, where

• P is the perimeter.

We know that rectangles don't have equilateral sides and thus the area consists of two factors of 8. We need to determine which two factors of 8 will (when doubled) produce a sum of 12.

The factors of 8 are:

• 1 and 8,
• and 2 and 4.

2 and 4 satisfy the perimeter equation and the area equation as

2 * 4 = 8 and 2(2) + 2(4) = 4 + 8 = 12

Thus, the side lengths of the rectangle are 2 square units and 4 square units.