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:

$Area=Length\times Width$

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

$Area=(2x-5)\times (3x+3)$

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

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

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

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