Can someone please help me solve this? thank you!:)

Width: 10 m

Length: 20 m

Step-by-step explanation:

Hi there!

Let w be equal to the width of the enclosure.

Let l be equal to the length of the enclosure.

1) Construct equations

⇒ A represents the area of the enclosure.

⇒ This represents the perimeter of the enclosure. Normally, P=2w+2l, but because one side isn't going to use any rope (sandy beach), we remove one side from this equation.

2) Isolate one of the variables in the second equation

Let's isolate l. Subtract 2w from both sides.

3) Plug the second equation into the first

Great! Now that we have a quadratic equation, we can do the following:

4) Solve for w

Factor out -2w

For A to equal 0, w=0 or w=20.

The average of 0 and 20 is 10, so the width that will max the area is 10 m.

5) Solve for l

Plug in 10 as w

Therefore, the length of 20 m will max the area.

I hope this helps!

nada

step-by-step explanation: