A new Outdoor recreation Center is being built in Erie. The perimeter of the rectangular playing field is 456 yards. The length of the field is 7 yards less than quadruple the width. What are the dimensiA new Outdoor Recreation ons of the playing field?

   (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

And replacing into equation (1) we got:

Adding 14 in both sides we got:

And dividing 10 on both sides we got:

And then we can solve for X and we got:

Step-by-step explanation:

For this case we can set up the following notation:

X represent the lenght

Y represent the width

And since we have a rectangular playing filed the perimeter is given by:

   (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

And replacing into equation (1) we got:

Adding 14 in both sides we got:

And dividing 10 on both sides we got:

And then we can solve for X and we got:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above