Answer:
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.
