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S_A_V [24]
3 years ago
9

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 w

idth.
Mathematics
2 answers:
Anastaziya [24]3 years ago
5 0

Answer:

sorry, but the width is 16, and length is 25

Step-by-step explanation:

oksano4ka [1.4K]3 years ago
4 0

Answer:

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!

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5 0
3 years ago
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lapo4ka [179]

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

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The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

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Now we can add the areas, 15 and 6, together to find the total area.

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The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩

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