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Suppose Matthew Whitaker performs on a rectangular stage with an area of 1815 square feet. If the length of the stage is 5x and the width of the stage is 3x, what is the value of x?

Respuesta :

MrRoyal

Answer:

[tex]x = 11ft[/tex]

Explanation:

Given

[tex]Area = 1815ft^2[/tex]

[tex]Length = 5x[/tex]

[tex]Width = 3x[/tex]

Required

What is x?

Since the stage is rectangular in shape;

We have:

[tex]Length * Width = Area[/tex]

[tex]5x * 3x = 1815[/tex]

[tex]15x^2= 1815[/tex]

Divide through by 15

[tex]x^2 = 1815/15[/tex]

[tex]x^2 = 121[/tex]

Take square roots

[tex]x = \sqrt{121}[/tex]

[tex]x = 11[/tex]

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