Question 148281: The width of a a rectangle is fixed 26cm. What length will make the perimeter greater than 94cm? The length must be greater than ??? cm.
HELP.
Found 2 solutions by nerdybill, Electrified_Levi:
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! The width of a a rectangle is fixed 26cm. What length will make the perimeter greater than 94cm? The length must be greater than ??? cm.
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Well the perimeter of any rectangle is:
perimeter = L+L+W+W
or
perimeter = 2(L+W)
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Now, if the width if fixed at 26cm and we want the perimeter greater than 94cm we get the equation:
perimeter = 2(L+W)
94 < 2(L+26)
47 < L+26
21 cm < L
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Therefore the length has to be greater than 21 cm.
Answer by Electrified_Levi(103)  (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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The width of a a rectangle is fixed 26cm. What length will make the perimeter greater than 94cm? The length must be greater than ??? cm.
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The perimeter is all the sides added together, we know the two "width" sides, 26 cm.. The length is equal to "x", the perimeter has to be greater than 94 cm.
We have to find what "x" equals (what "x" equals is the answer to "The length must be greater than ??? cm.") if the perimeter is 94 cm.
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26 + 26 + x + x = 94
52 + 2x = 94
2x + 52 = 94
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We will move 52 to the right side
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2x + 52-52 = 94-52
2x = 42
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We can find "x" by dividing by 2
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x = 21( In our case, it can't equal 21,What length will make the perimeter greater than 94cm?)
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The length has to be greater than 21 cm.
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We can check by replacing "x" with any number greater than 21
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Let's replace "x" with 30
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26 + 26 + x + x = ?
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26 + 26 + 30 + 30 = ?
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? = 112(It is greater than 94)
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We will now replace "x" with a number that is really close to 21( remember it has to be greater than 21), 21.0000000000000000000000001.
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26 + 26 + x + x = ?
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26 + 26 + 21.0000000000000000000000001 + 21.0000000000000000000000001 = ?
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? = 94.0000000000000000000000002( It is still greater than 94)
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The length has to be greater than 21 cm., for the perimeter to be greater than 94 cm.
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Hope I helped, Levi
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