Animal Crackers Preschool has recently accepted a donation of playground equipment. They would like to construct a new playground, but due to highway proximity it must be fenced in on all sides. The fund-raising committee has collected enough money to buy 200 feet of fencing that comes in 1-foot panels and includes an entrance gate.
Your job is to find the maximum area that can be formed with the available fencing and that can accommodate all the available equipment. In exploring this problem, use use-area dimensions which include the amount of space around the specified equipment that safety regulations require. Once you have completed your task, you will present your information to the preschool playground committee. They will make a final recommendation to the school board.

EQUIPMENT & QUANTITY ACTUAL SIZE USE AREA
Spiral Slide 7' x 15' 19' x 27'
Super Dome 17' diameter 20' diameter
Teacup Merry-Go-Round 6' diameter 12' diameter
Seesaws (2) 2' x 12' each 4' x 12' each or 6' x 12'
when placed next to each other
Swings 8'x5' 32' x 36'
Kids' Picnic Tables (2) 4' x 4' each 5' x 5' each

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24