The area of a rectangular patio is 400 square feet. the length of the patio is 9 feet more than its width. find the length and width.

Length: 16 feet

Width: 25 feet

Step-by-step explanation:

Alright so let's set up our system:

The area of a rectangular patio is 400 square feet.: L*W = 400

The length of the patio is 9 feet more than its width: L = W - 9

If you look here, all we need to do now is plug in L and solve.

(W - 9)W = 400

W^2-9W - 400 = 0

You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.

(W + 16)(W - 25) = 0

so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.

So now we plug in 25 in our second equation to get L:

L = 25 - 9

L = 16

And now we have both our answers!

the barter

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: