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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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Answer:
53. ±6
51. 2
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:
I am joyous to assist you anytime.
Answer:
C) No, after multiplying 15.5 by 18 you need to divide by 25 to determine the number of boxes.
Step-by-step explanation:
The dimensions of the rectangular room are 15.5 feet x 18 feet. Which is a total area of: 15.5 x 18 = 279 ft².
The tiles being used are 12 inches x 12 inches or 1 foot x 1 foot. Since there are 25 tiles in each box, it can cover an area of 25 ft ².
When doing calculations with measurements, the measurements must be the same. For instance, you can not divide square feet by inches because they are different measurements. However, you can divide by square feet. To the total square footage of the room (279 ft²) can be divided by the amount of square feet covered by each box (25 ft²): 279/25 = 11.16 or a minimum of 12 boxes would be needed.
