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Andrej [43]
3 years ago
7

A rectangular sheet of metal has an area of 112 square inches. Its perimeter is 44 inches. What are the dimensions of the sheet?

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
A) w * L = 112
B) 2w + 2L = 44
A) w = 112 / L then substituting this into B)
B) 2 * (112/L) + 2L = 44
B) 224 / L + 2L = 44
B) 224 + 2L^2 = 44L
B) 2L^2 -44L +224 = 0
L = 14
L = 8

Double Check
Width = 14  Length = 8
2*14= 28 2*8 = 16
28 + 16 = 44

14*8= 112
Correct!!!


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First thing to do, when you have to add 2 fractions, you have to make both denominators equal. 14/6 = 0.84, so can't multiply or divide any fraction by a whole number to get the other denominator.
So, you multiply each fraction by the denominator of the other fraction. Which means that you multiply 5/14 by the denominator of 1/6 which is 6, and you multiply 1/6 by the denominator of 5/14 which is 14.
5/14 + 1/6 = 30/84 + 14/84
Then you join both fractions to make them under one denominator, since both denominators are equal.
30/84 + 14/84 = (30+14)/84 = 44/84.
Now, you need to simplify the fraction: you divide both numerator and denominator by 4:
44/84 = 11/21

So 5/14 + 1/6 = 11/21

Hope this Helps! :)

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3 years ago
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I need help with this one <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title=" \frac{1}{3} "
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2 as a fraction is 2/1 (because 2 divide by 1 is still 2)
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1/3  ÷ 2/1 
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https://revisionmaths.com/gcse-maths-revision/shape-and-space/vectors

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3 years ago
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3 years ago
Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each
Agata [3.3K]

Answer:

15.9 centimeters

Step-by-step explanation:

the information we have is:

Perimeter: P=95.4cm

Number of sides of the polygon: n=6

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

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So we clear for l and we get:

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