If a jewelry store has an area of 5,000 and a perimeter of 300 what are its dimensions

X*y = 5000

2x + 2y = 300

x=5000/y

2 (5000/y) + 2y=300

10000/y+2y=300

10000+2y^2=300y

2y^2-300y+10000=0

2 (y^2-150+5000) = 0

2 (y-500) (y-100) = 0

y=50

y=100

no plug y into the other equation and get:

x=50

y=100

One side is 50 and the other is 100.