SOLUTION: The perimeter of Bully's square pen is 24 yards. The area of Smokey's square pen is one-fourth the area of Bully's pen. What is the perimeter of Smokey's pen?

Algebra ->  Points-lines-and-rays -> SOLUTION: The perimeter of Bully's square pen is 24 yards. The area of Smokey's square pen is one-fourth the area of Bully's pen. What is the perimeter of Smokey's pen?      Log On


   

Question 844429: The perimeter of Bully's square pen is 24 yards. The area of Smokey's square pen is one-fourth the area of Bully's pen. What is the perimeter of Smokey's pen?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Assign variables to everything that you can, and write as many statements as you can that seem related to these two square pens.

Bully:
let b = side length of the square pen.
b%5E2=24 and perimeter is 4b.
b=sqrt%2824%29=sqrt%283%2A2%2A2%2A2%29
b=2%2Asqrt%286%29
perimeter of Bully's pen is highlight%288%2Asqrt%286%29%29.

Smokey:
Let x = side length of the square pen.
Using description, x%5E2=%281%2F4%2924=6
x=sqrt%286%29.
Smokey's pen's perimeter is highlight%28highlight%284%2Asqrt%286%29%29%29.