suppose you have 76 feet of fencing to enclose a rectangular dog pen. The function A=38x-x^2, where x=width, gives you the area of the dog pen in square feet. What width give you the maximum area? What is the maximum area? Round to the nearest tenth if necessary. Show your work.

A) width= 19 ft; area= 1083ft^2
B) width= 19ft; area= 361ft^2
C) width= 38ft; area= 361ft^2
D) width= 38 ft; area= 760ft^2

PLEASE SHOW WORK

Question

suppose you have 76 feet of fencing to enclose a rectangular dog pen. The function A=38x-x^2, where x=width, gives you the area of the dog pen in square feet. What width give you the maximum area? What is the maximum area? Round to the nearest tenth if necessary. Show your work.

A) width= 19 ft; area= 1083ft^2
B) width= 19ft; area= 361ft^2
C) width= 38ft; area= 361ft^2
D) width= 38 ft; area= 760ft^2

PLEASE SHOW WORK