The perimeter of a rectangular garden is 34 square feet. The length of the rectangle is 11 feet longer than the width. Let the length equal x and the width equal y. What are the dimensions of this garden?

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:

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

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

Simplifying by 2:

         [1]

Now for the second condition:

          [2]

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

Operating and simplifying:

Solving for y

Substituting the value of y in [2]

Thus, the complete solution is:

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

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step-by-step explanation:

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step-by-step explanation: