# Yards of fencing

• Aug 27th 2009, 07:10 PM
Hapa
Yards of fencing
Two squares, one with an area of 5 square yards and the other with an area of 125 square yards, both require fencing to enclose their respected areas. How many yards of fencing will be needed to enclose the squares?

Thanks again!

v/r
Hapa
• Aug 27th 2009, 07:13 PM
apcalculus
Quote:

Originally Posted by Hapa
Two squares, one with an area of 5 square yards and the other with an area of 125 square yards, both require fencing to enclose their respected areas. How many yards of fencing will be needed to enclose the squares?

Thanks again!

v/r
Hapa

Let the sides of the two squares be x and y. The areas are x^2 = 5 and y^2 = 125, respectively.

Find $x=\sqrt{5}$ and $y=5$.

The amount is fencing is measured by the perimeter. Since each square has four equal sides, the total fencing is 4x for the first square and 4y for the second square.
Hope this helps.

Good luck!
• Aug 27th 2009, 08:23 PM
Wilmer
Quote:

Originally Posted by apcalculus
Find $x=\sqrt{5}$ and $y=5$.

No: y = 5sqrt(5) ; typo?
• Aug 27th 2009, 08:38 PM
apcalculus
Of course. thanks for pointing out!