SOLUTION: Please help me solve this problem. I have no idea how to arrange word problems . The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is

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Question 118400: Please help me solve this problem. I have no idea how to arrange word problems .
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth. Place your answers in the blanks provided.
Width = __________cm, Length = _________cm.

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth.
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Let the width be x cm ;Then the length is 2x+3 cm
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Area = width*length
93 = x(2x+3)
93 = 2x^2+3x
2x^2+3x-93 = 0
x = [-3 +- sqrt(9 -4*2*-93)]/4
x = [-3 + sqrt(753)]/4
x = [-3 + 27.44]/4
x = 24.44/4
x = 6.11 cm (width)
2x+3 = 15.22 cm (length)
============
Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
The length L of a rectangle is 3+cm more than 2 times its width W.
then L+=+2W+%2B+3cm
If the area A of the rectangle is 93+cm%5E2
to find: the dimensions of the rectangle to the nearest thousandth.

since the area is A+=+L%2AW, we will have:
93cm%5E2++=+%282W+%2B+3%29%2AW
0+=+2W%5E2+%2B+3W+-+93+cm%5E2
+2W%5E2+%2B+3W+-+93+cm%5E2+=+0..

find only positive root ( the width cannot be negative)

W%5B1%2C2%5D=%28-3+%2B-+sqrt+%283%5E2+-4%2A2%2A%28-93%29+%29%29+%2F+%282%2A2%29

W%5B1%2C2%5D=%28-3+%2B-+sqrt+%289+%2B+744+%29%29+%2F4

W%5B1%2C2%5D=%28-3+%2B-+sqrt+%28+753%29%29+%2F4

W%5B1%2C2%5D=%28-3+%2B-+27.44%29%2F4

W%5B1%5D=%28-3%2B+27.44%29%2F4

W%5B1%5D=%28+24.44%29%2F4

W%5B1%5D=+6.11cm..then

L+=+2+%2A+6.11cm+%2B+3cm
L+=+12.22cm+%2B+3cm
L+=+15.22cm+
check:

A+=+L%2AW
93cm%5E2=+15.22cm+%2A6.11cm
93cm%5E2=+92.9942cm%5E2.........we can round it
93cm%5E2=+93cm%5E2.........

Width+=+6.11cm, Length+=+15.22cm+