Question

A rectangle has an area of 4x2-9 and one side of the rectangle has a length of (2x-3). Find an expression that represents the missing side of the rectangle. A rectangle = lw.

Answer 1

We know that the area of the rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. We also know that one side of the rectangle has a length of (2x - 3).

To find the expression that represents the missing side of the rectangle, we can use the formula for area and solve for the unknown side:

A = lw

4x^2 - 9 = (2x - 3)w

Divide both sides by (2x - 3):

w = (4x^2 - 9)/(2x - 3)

Therefore, the expression that represents the missing side of the rectangle is:

w = 2x + 3