Question

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

Answer 1

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.