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Colt1911 [192]
3 years ago
13

Blake has to put up a fence around a pet pen which s rectangular. If the width is 23 feet and the perimeter is 114 feet. What is

the length of the rectangle?
Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0
P = 2(L + W)
P = 114
W = 23

114 = 2(L + 23)
114 = 2L + 46
114 - 46 = 2L
68 = 2L
68/2 = L
34 = L <=== so the length is 34 ft
Vladimir [108]3 years ago
4 0
The length is 4.95 feet, which would be 5 feet if you have to round
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Answer

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You can multiply the first equation by 4/3.

You can multiply the first equation by 3.

Explanation

When solving a system of equations by elimination, you want to add or subtract the equations to "get rid" of a variable.

To do that, one of the variables in both equations have to have the same coefficient.

The first answer possible gives x the coefficient of 12 for both equations. You would get 12x+4y=52 and 12x-9y=39. You could subtract those equations to get 13y=13.

The second way gives x the coefficient of 4. You would multiply the first equation by 4/3 to get 4x+4/3y=52/3. You can subtract to get one variable, and then solve from there. Although, multiplying for 4/3 is annoying, so it's not suggested.

You can also "get rid" the the y. Multiply the first equation by 3 to get 9x+3y=39. You can add these equations. When you add 9x+3y=39 and 4x-3y=13 you get 13x=52.

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To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


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Let's go to the calculations.


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