anonymous
  • anonymous
The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
8==============>V
anonymous
  • anonymous
first time on here
freckles
  • freckles
We are given L and W are the dimensions of the rectangle where L stands for length of the rectangle and W stands for width of the rectangle. We are also given by the first sentence that L is 2+3W or L=2+3W We are also given the the sum of the sides equals 100 meters->can you write this as a mathematical equation?

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anonymous
  • anonymous
i am not that good at algebra
anonymous
  • anonymous
i can't make that many equations
freckles
  • freckles
sum means add can you write an equation expressing the sum of the sides=100 meters
freckles
  • freckles
there are 4 sides in a rectangle
freckles
  • freckles
opposite sides are equal
freckles
  • freckles
|dw:1434468984467:dw|
freckles
  • freckles
can you write the mathematical equation now?
freckles
  • freckles
for the sum of the sides is 100 meter?
anonymous
  • anonymous
L=2+3w/100?
freckles
  • freckles
do you know what sum of the sides of the rectangle means?
freckles
  • freckles
Do you see the side measurements in the rectangle above that I drew?
anonymous
  • anonymous
yes
freckles
  • freckles
L+W+L+W <---this is suppose to be 100 L+W+L+W is the perimeter of the rectangle (this is just the sum of all the sides) L+W+L+W=100 combine like terms on the left hand side.
freckles
  • freckles
then sub in the other equation I gave you
anonymous
  • anonymous
oh ok. ... ... 2L+2w=100 L=2+3w
freckles
  • freckles
yes sub the equation equation you have written there into the first
anonymous
  • anonymous
... ... 3L+6w=100?
anonymous
  • anonymous
no
anonymous
  • anonymous
4L+6w=100
freckles
  • freckles
in the second equation do you see that L is (2+3w) replace the first L you wrote with (2+3w)
freckles
  • freckles
|dw:1434469623999:dw|
freckles
  • freckles
you will be able to solve for w and then you will use L=2+3w to find L after you have w
anonymous
  • anonymous
|dw:1434469621254:dw|
anonymous
  • anonymous
ran out of room
anonymous
  • anonymous
2(2+3w)=100
freckles
  • freckles
why did you omit part of the equation though?
freckles
  • freckles
|dw:1434469813903:dw|
anonymous
  • anonymous
2L(2+3w)=100?
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
2(2+3w)+2w=100
freckles
  • freckles
yep solve that for w
anonymous
  • anonymous
ok
anonymous
  • anonymous
14w=100?
freckles
  • freckles
do you know what distribute property is? a(b+c) can be written as a*b+a*c
freckles
  • freckles
distribute the 2 in front of the (2+3w)
freckles
  • freckles
then you can combine any like terms
anonymous
  • anonymous
|dw:1434470059174:dw|?
anonymous
  • anonymous
right?
freckles
  • freckles
you need to apply the distributive property there
anonymous
  • anonymous
... |dw:1434470382871:dw|
freckles
  • freckles
6w+2w isn't 12w and 4 doesn't disappear
freckles
  • freckles
you have 4+8w=100 since 4 doesn't disappear and 6w+2w=8w
anonymous
  • anonymous
sorry
anonymous
  • anonymous
so...
anonymous
  • anonymous
4+8w=100
freckles
  • freckles
you need to isolate w
anonymous
  • anonymous
you mean cancle out 8?
freckles
  • freckles
I mean get w by itself
freckles
  • freckles
you are going to do to subtract both sides by a number to first isolate 8w then you will need to divide both sides by a number to isolate finally the w part
anonymous
  • anonymous
|dw:1434470715185:dw|?
freckles
  • freckles
you could do that except it wouldn't isolate the 8w part
anonymous
  • anonymous
i know
freckles
  • freckles
why not try to subtract 4 on both sides?
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
8w=96
freckles
  • freckles
ok can you finish from there?
anonymous
  • anonymous
...
anonymous
  • anonymous
maybe
freckles
  • freckles
what are you going to do to both sides?
anonymous
  • anonymous
divide
freckles
  • freckles
by what number?
anonymous
  • anonymous
8
freckles
  • freckles
cool
anonymous
  • anonymous
l=12
freckles
  • freckles
:( why did you change w to l?
anonymous
  • anonymous
W=12
freckles
  • freckles
"The length of a rectangle is 2 more than 3 times the width. If the perimeter is 100 meters, what is the width of the rectangle? " This was the question you posted. Do you think you are done? (hint: don't forget the unit part of your answer)
anonymous
  • anonymous
L=38?
freckles
  • freckles
well your question only asked to find the width which you sort of already did you just need the units part but if you wanted to find length (and here you will also need to put the units): but L=2+3w where we found w to be 12 so L=2+3(12)=2+38 L=38
freckles
  • freckles
do you remember what units were used in the question?
anonymous
  • anonymous
:)
freckles
  • freckles
actually I put 38 instead od 36 and 2+36=38
freckles
  • freckles
anyways please don't forget to put the units in your answer
anonymous
  • anonymous
ok
anonymous
  • anonymous
thx you're the best
freckles
  • freckles
np continue working on more examples
freckles
  • freckles
are even extra problems
anonymous
  • anonymous
ok
freckles
  • freckles
or*
freckles
  • freckles
have a nice day
anonymous
  • anonymous
you too

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