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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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It would just be 8 since an integer just means whole number.
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
