HELP PLEASE! 50 POINTS, BRAINLIEST FOR WHOEVER ANSWERS FIRST AND A 5 RATE ALONG WITH A THANK YOU! A rectangular garden is fenced on all sides with 98 feet of fencing. The width of garden is 9 feet shorter than it is length. Find the length and width of the garden.

Length is 29 feet. Width is 20 feet.

Step-by-step explanation:

We know that the rectangular garden is fenced on all sides with 98 feet of fencing.

In other words, our perimeter is 98 feet.

Remember that the formula for perimeter is:

Since we know our perimeter, substitute 98 for P:

Now, we also know that our width is 9 feet shorter than our length.

So, whatever our length is, we subtract 9 to acquire the width. In other words:

We now have a system of equations. To solve for both w and l, we can use substitution.

Let's substitute our second equation into the first. This yields:

First and foremost, let's divide both sides by 2 to simplify. This gives us:

Combine like terms on the right:

Add 9 to both sides. So:

Divide both sides by 2. Therefore, our length is:

Since our width is 9 feet shorter than our length, our width is 29 - 9 or 20 feet.

So, our length is 29 feet and our width is 20 feet.

And we're done!

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