Question

What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answer 1

Given:

The dimensions of a rectangle are
`2x-5` and
`3x+3`.

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

`Area=Length* Width`

The dimensions of a rectangle are
`2x-5` and
`3x+3`. So, the area of the given rectangle is:

`Area=(2x-5)* (3x+3)`

`Area=2x(3x)+2x(3)-5(3x)-5(3)`

`Area=6x^2+6x-15x-15`

`Area=6x^2-9x-15`

Therefore, the correct option is F, i.e.,
`6x^2-9x-15`.