SOLUTION: Mr. McGreggor is redesigning his garden. If the new width is half of the old wideth and the new length is 4 feet less than twice the old wide, the garden will be 24 square feet.
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Question 205648: Mr. McGreggor is redesigning his garden. If the new width is half of the old wideth and the new length is 4 feet less than twice the old wide, the garden will be 24 square feet. Find the old width.
Thank you,
Connie Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! If the new width is half of the old width and the new length is 4 feet less
than twice the old width, the garden will be 24 square feet.
Find the old width.
:
Let x = the old width
then
.5x = the new width
;
"new length is 4 feet less than twice the old width,"
(2x - 4) = new length
:
Area = length * width
.5x(2x-4) = 24
:
x^2 - 2x = 24
:
x^2 - 2x - 24 = 0
;
Factors to
(x-6)(x+4) = 0
:
the positive solution is what we want here
;
x = 6 ft; is the old width
;
:
Check solution:
New width = .5(6) = 3 ft
New length = 2(6) - 4 = 8 ft
Area: 3 * 8 = 24 sq/ft
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