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You may recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length.

Suppose that the length of a rectangle is 3 times the width. If the area is 300 square feet, then what is the width of the rectangle, in feet?

Do not type the units in your answer.

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XKelvinid

Answer:

The width is 10 feet.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

[tex]\displaystyle A=L\cdot W[/tex]

Where L is the length and W is the width.

We are given that the length of the rectangle is three times the width. In other words:

[tex]L=3W[/tex]

The total area is 300 square feet. And we want to determine the width of the rectangle.

So, substitute 300 for A and 3W for L:

[tex](300)=(3W)\cdot W[/tex]

Multiply:

[tex]300=3W^2[/tex]

Divide both sides by three:

[tex]W^2=100[/tex]

And take the principal square root of both sides. So:

[tex]W=10[/tex]

Thus, the width of the rectangle is 10 feet.

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