Question

The area of a rectangle is 8w-18 square units.

Factor this expression.
Given your answer in part A, describe what you can conclude about the dimensions of the rectangle in two or more complete sentences.

Answer 1

The expression 8w - 18 can be factored as (4w - 9)(2).

The dimensions of the rectangle are 4w - 9 units and 2 units. The area of the rectangle is the product of these dimensions, which is 8w - 18 square units.

Therefore, we can conclude that the rectangle has a length of 4w - 9 units and a width of 2 units, and the product of these dimensions is equal to 8w - 18 square units.