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Define x and y:
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Let the length be x.
Let the width be y.
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Formula:
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Perimeter = 2(Length + Width)
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Construct equations and solve for x and y:
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2x + 2y = 56 ---------------------- (1)
2(x+8) + 4y = 82 -----------------------(2)
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From equation 1:
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2x + 2y = 56
x + y = 28
x = 28 - y
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From equation 2:
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2(x+8) + 4y = 82
2x + 16 + 4y = 82
2x + 4y = 66
x + 2y = 33
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Substitute x = 28 - y into equation 2:
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x + 2y = 33
(28 - y) + 2y = 33
28 - y + 2y = 33
y = 5
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Substitute y = 5 into equation 1:
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x = 28 - y
x = 28 - 5
x = 23
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Find Length and Width
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Length = x = 23 m
Width = y = 5m
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Answer: Length = 23m and Width = 5m
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3 9
_ * _
15 6
Compare diagonally to see if they the 2 numbers simplify.
Ex:
3 and 6 Simplify to 1 and 2 because they are both multiples of 3.
9 and 15 Simplify to 3 and 5 because they are both multiples of 3 as well.
Now our fractions are
1 3
_ * _
5 2
Now multiply across to get your final fraction/answer
3
_
10
2x + 4 = 12
We're simply just trying to isolate x.
So, we must get x onto it's own side of the equal sign :)
Our first step is to subtract 4 from both sides.
2x + 4 - 4 = 12 - 4
Simplify.
2x = 8
Then, we divide both sides by 2.
2x ÷ 2 = 8 ÷ 2
Simplify.
x = 4
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To check your work, simply plug in the value of x into x in the original equation.
In this problem, x = 4, so plug in 4 for x.
2x + 4 = 12
2(4) + 4 = 12
Simplify.
8 + 4 = 12
12 = 12
Therefore, x = 4
~Hope I helped!~
Answer:
your answer is D
Step-by-step explanation:
hope this helps
