You are building a rectangle, so call the length x and the width y. You have 2 12 foot long boards, so the perimeter of the rectangle must be 2*12 = 24 feet. The area of the flowerbed is 32 square feet. Thus:Originally Posted byarmthezombies

2x + 2y = 24

x*y = 32

So solve the top equation for, say y, and then plug that into the bottom equation:

So solve the quadratic for x, plug that into your y equation and that will tell you how to cut each of the 12 foot boards. (I got x=8 feet and y=4 feet, or x=4 feet and y=8 feet. They both represent the same thing.)

-Dan