Please help....

Question

You are building a fence around a rectangular area. You have 74 feet of fencing. The rectangular area has a width of 12 feet. A) Write an inequality that can be used to determine the possible lengths of the fenced in area. B) What is the maximum length of the fenced in area?

Answer 1

74 = 2(12) + 2L

If

2L = 50

L=50/2 = 25

L=25 feet is the maximum possible length given width of 12 feet. If you don't use all the fencing then 0<L<25 feet. L can be any length between 0 and 25.

IF width=12, then maximum area is use all 72 feet of fencing with length = 25 and area = 12x25 = 300 square feet.

IF the width can be varied, then the maximum area would be with W=L=72/4= 18 feet using all fencing and creating a fenced in square, with area = 18x18 = 324 square feet