Mathematics: Need helpp fastt plss will give brainliest to who is correct plss helpp

Need helpp fastt plss will give brainliest to who

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lilpeepxliltracy

12.07.2020

Mathematics

The length of the rectangle is 14 feet and the width is 3 feet

Step-by-step explanation:

System of Equations

If two equality relations are established between two variables, then we are dealing with a system of equations which can have just one, none or infinitely many solutions.

The problem at hand relates two variables, the length of a rectangle (called x) and the width (called y), having two conditions:

The perimeter of a rectangular garden is 34 square feetThe length of the rectangle is 11 feet longer than the width

We need to recall the formula of the perimeter is given by

P=2x+2y

And that value is known to be 34 feet (not square feet), thus

2x+2y=34

Simplifying by 2:

x+y=17 [1]

Now for the second condition:

x=11+y [2]

To solve the system, we can replace x from [2] in [1]:

(11+y )+y=17

Operating and simplifying:

11+2y=17

2y=17-11=6

Solving for y

$\displaystyle y=\frac{6}{2}=3$

Substituting the value of y in [2]

x = 11+3=14

Thus, the complete solution is:

The length of the rectangle is 14 feet and the width is 3 feet

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Need helpp fastt plss will give brainliest to who is correct plss helpp

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