A recreational court is twice as long as it is wide. if the perimeter is 210 feet, find the width and length .

The court has a length of 70 feet, and a width of 35 feet.

Step-by-step explanation:

We know two things:

the the length is twice the width

l = 2w

We also know that  the perimeter is 210 feet.  Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:

210 = 2w + 2l

Now we can substitute the first definition of l into the second equation:

210 = 2w + 2(2w)

And now we can solve for w:

210 = 2w + 2(2w)

210 = 2w = 4w

210 = 6w

w = 210 / 6

w = 35

Now that we have w, we can plug that into our first little equation to find l:

l = 2w

l = 2 × 35

l = 70

So the width of the court is 35 feet, and it's length is 70.