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A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters. Write a simplified expression that represents the area of the floor of the concert hall, in square meters?

Respuesta :

calculista

Answer:

[tex]A=(2x^{2}+9x-18)\ m^{2}[/tex]

Step-by-step explanation:

Let

L-----> the length of the concert hall

W----> the width of the concert hall

we know that

The area of a rectangle ( concert hall) is equal to

[tex]A=LW[/tex]

we have

[tex]L=(x+6)\ m[/tex]

[tex]W=(2x-3)\ m[/tex]

substitute the values

[tex]A=(x+6)(2x-3)\\ \\A=2x^{2} -3x+12x-18\\ \\A=(2x^{2}+9x-18)\ m^{2}[/tex]

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