Question

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

Answer 1

Answer:

The width is 10 feet.

Step-by-step explanation:

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

$\displaystyle A=L\cdot W$

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:

$L=3W$

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:

$(300)=(3W)\cdot W$

Multiply:

$300=3W^2$

Divide both sides by three:

$W^2=100$

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

$W=10$

Thus, the width of the rectangle is 10 feet.