Answer:
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
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:
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.