Hagrid plans to put up new fencing around his rectangular garden. he wants the width of his new garden to be 6 less than the length. the perimeter of the new garden will be 188 feet. create and use an algebraic equation to find the dimensions (length and width) of hagrid's new garden. show your work!

Lenght=50 feet.

Width=44 feet.

Step-by-step explanation:

1.  He wants the width of his new garden to be 6 less than the length, this can be expressed as following:

Where W is the width L is the length.

2. The perimeter of a rectangle can be calculated with:

3. You know the perimeter, therefore, you can substitute into the equation of the perimeter and solve for the length:

(The length is 50 feet)

3. Then, the width is:

(The width is 44 feet)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

a is the correct