The perimeter of a rectangle is 24 m. The length is 3 m more than twice the width. Find the dimensions.
What is the length __ m???
What is the length __ m???
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24 = x + x + 2x + 2x + 3 + 3
24 = 6x + 6
18 = 6x
3 = x
length = 2x + 3
= 9
width = x
= 3
24 = 6x + 6
18 = 6x
3 = x
length = 2x + 3
= 9
width = x
= 3
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Write down you knowns
Perimeter = 24 m
L = 2x + 3
W = x
Let x = unknown
P = 2L + 2W
Next, plug in the numbers in place of letters.
24 = 2(2x + 3) + 2x
Now solve for x in get width.
Distribute 2
24 = 4x + 6 + 2x
Combine like terms
24 = 4x + 2x + 6
24 = 6x + 6
Subtract 6 to both sides.
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Perimeter = 24 m
L = 2x + 3
W = x
Let x = unknown
P = 2L + 2W
Next, plug in the numbers in place of letters.
24 = 2(2x + 3) + 2x
Now solve for x in get width.
Distribute 2
24 = 4x + 6 + 2x
Combine like terms
24 = 4x + 2x + 6
24 = 6x + 6
Subtract 6 to both sides.
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1
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