SOLUTION: in a rectangular garden whose area is 24 Square centimeters, the length is 5 centimeters more than the width. find the dimensions of the garden.

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Question 31337This question is from textbook Mathematics A
: in a rectangular garden whose area is 24 Square centimeters, the length is 5 centimeters more than the width. find the dimensions of the garden. This question is from textbook Mathematics A

Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
length = l = 5+w
width = w = w
area = a = 24
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a=lw
24=w(w+5)
w^2+5w-24=0
(w+8)(w-3)=0
w=-8 or w=3
since you cannot have a negative length, your width is 3 and your length is 8!

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Let the width by "x".
Then the length is "x+5"
Area = (width)(length)=24 sq. cm.
EQUATION:
x(x+5)=24
x^2+5x-24=0
(x+8)(x-3)=0
x=-8 or x=3
Width cannot be negative, so x=width = 3cm
x+5= length = 8 cm.
Cheers,
Stan H.