SOLUTION: Robin is mowing a rectangular field that measures 24 yards by 32 yards , by pushing a mower around and around the outside of the plot. This creates a widening border that surround

Algebra ->  Rectangles -> SOLUTION: Robin is mowing a rectangular field that measures 24 yards by 32 yards , by pushing a mower around and around the outside of the plot. This creates a widening border that surround      Log On


   



Question 147042: Robin is mowing a rectangular field that measures 24 yards by 32 yards , by pushing a mower around and around the outside of the plot. This creates a widening border that surrounds the unmowed grass in the center. During a brief test, Robin wonders whether the job is half done yet. How wide is the uniform mowed border when Robin is half done?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
32*24=768 Area of field
768/2=384 Half done area.
(32-x)(24-x)=384
x^2-56x+768=384
x^2-56x+384=0
(x-8)(x-48)=0
x=8 yards. Width of the uniform border.
.
Ed