emmaq03
contestada

The perimeter of a rectangle is equal to
the sum of its sides. If the length of a
rectangle is twice its width, and the peri-
meter of the rectangle is 186 feet, what is
the width of the rectangle?

Respuesta :

calculista

Answer:

The width of the rectangle is 31 feet

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]P=186\ ft[/tex]

so

[tex]186=2(L+W)[/tex]

[tex]93=L+W[/tex] ----> equation A

The length of a  rectangle is twice its width

so

[tex]L=2W[/tex] ----> equation B

substitute equation B in equation A

[tex]93=2W+W[/tex]

solve for W

[tex]3W=93\\W=31\ ft[/tex]

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