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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

Sagot :

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

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

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

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

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].

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