SOLUTION: a gardener has a garden that is 20 feet wide and 100 feet long. She wants to have a stone border (along all 4 edges of the garden and inside) of uniform width. The stone border sho
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-> SOLUTION: a gardener has a garden that is 20 feet wide and 100 feet long. She wants to have a stone border (along all 4 edges of the garden and inside) of uniform width. The stone border sho
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Question 269559: a gardener has a garden that is 20 feet wide and 100 feet long. She wants to have a stone border (along all 4 edges of the garden and inside) of uniform width. The stone border should use 100 square feet of crushed stone. How wide should the border be in inches? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = width of border in ft
The area of the garden is: ft2
The area of the garden + border is:
The area of the border is (garden + border) - garden
Solve by completing the square
Take the square root of both sides ft in
The width of the border is 9.93 inches
check:
The area of the garden + border is:
This is area of garden, 2000 ft2, plus 100 ft2 for border
OK
