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Bryan needs to build a fence around his rectangular vegetable garden. The length will be 2 feet longer than the width. If he uses 16 feet of fencing; what will be the length and width? Brian plans on building a larger Garden next year. He would like to keep the length the same button extend the width of the garden so that it is square. is Brian extends the with to make a square, how much fencing will he need to surround the garden.

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eliparha
In order to do this, one side of the rectangle will be x+2, and the other will just be x. The x would be representing the width since the length is the width (x) plus two feet (+2). Next, you have to make an equation. So, since it all has to use 16 feet of fencing, you would set the two sides to be added to equal 16. So, it would be: 16=x+2+x. Then, you reduce that, so it would be: 16=2x+2. After that you just solve for x (which means that you want x by itself on one side of the = ). So, you would subtract 2 from both sides. Since 2-2=0, that would make the "+2" go away; since 16-2=14, that would replace the 16. So, your new equation is: 14=2x. After that you just divide both sides by 2 because 2 divided by 2=0. 14/2=7. So, you would end up getting: 7=x as your final answer.

Now, you just put 7 where x was in the sides. So 2x (which was the length) trims into: 2 times 7, which =14 and the x (which was the width) we already figured out was 7. This, the width would be 7, while the length would be 14.
aksnkj

The length and width of the rectangular garden are 5 feet and 3 feet respectively. The length of fencing required to cover the larger square garden will be 20 feet.

Given information:

Bryan needs to build a fence around his rectangular vegetable garden.

The length will be 2 feet longer than the width. He uses 16 feet of fencing.

Let x be the width of the garden. So, the length of the garden will be x+2.

The perimeter of the garden is 16 feet.

The length and width of the garden will be,

[tex]p=2(l+b)\\16=2((x+2)+x)\\2x+2=8\\x=3\rm\;feet\it \\l=x+\rm2=5\rm\;feet[/tex]

So, the length and width of the rectangular garden are 5 feet and 3 feet respectively.

Now, he would like to keep the length the same but extend the width of the garden so that it is square.

So, the width should be extended by 2 feet to make it equal to length.

The new garden in square shape will have side equal to 5 feet.

The length of fencing required will be,

[tex]p=4a\\p=4\times 5\\p=20\rm\; feet[/tex]

Therefore, the length and width of the rectangular garden are 5 feet and 3 feet respectively. The length of fencing required to cover the larger square garden will be 20 feet.

For more details about rectangles and squares, refer to the link:

https://brainly.com/question/1757724

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