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.

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
----------------------------------------------------------------------------
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.

RELATED QUESTIONS
in a rectangular garden whose area is 24 centimeters, the length is 5 centimeters more... (answered by Nate)
the length of a rectangle garden is 5 m greater than the width. the area is 66m^2. find... (answered by drj)
Find the dimensions of a rectangle whose width is (4x - 3), length is (3x + 2), and the (answered by mananth)
A rectangle whose length is 3cm more than its width has an area of 40 square centimeters. (answered by checkley77)
the length of a rectanglar garden is 5m greater than the width. the area is 66^2. find... (answered by checkley77)
The length of a rectangular sheet of paper is 3 centimeters more than three times its... (answered by cleomenius)
What is the perimeter of a rectangle whose area is 24 square centimeters and whose length (answered by oscargut)
The length of a rectangular sheet of paper is 3 centimeters more than twice its width and (answered by rfer)
the length of a rectangle is 5 centimeters more than its width. if the perimeter of the... (answered by Stitch)