The browns installed 62 feet of fencing around a rectangular play yard. if the yard covers 234 square feet, what are its dimensions

B = Base

H=Height

2B+2H=62 - Perimeter equation

B*H=234 - Area equation

B=234/H

Plug that into your first equation

2 (234/H) + 2H=62

468/H+2H=62

Multiply both sides by H

468+2H^2=62H

2H^2-62H+468=0

H^2-31H+234=0

That was just some simplifying

Now we have a quadratic we have to solve for

You can use the quadratic formula

31+-√31^2-4 (234)

(31+5) / 2 and (31-5) / 2

H=18, 13

Plug those into your B*H=234 equation

18B=234

B=13

13B=234

B=13

So the base can be 13 or 18 feet

And the height can be 13 or 18 feet