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

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.