the width of a rectangle measures (3u — 4v) centimeters, and its length measures (10u — 2v) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
A: —4+26u+4v
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B: 13u—2
~
C: 26u—4v
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D: 26u—4
[my moms still yelling at me🧍♀️]
Just add them up , then double, since you have 2 lengths and 2 widths
sum = 3u-4v + 10u-2v
= 13u - 6v
now double that to get 26u - 12v
btw, I would like to see how your mom does these problems.
none of your choices!, so check your typing or check the actual problem
i wish i knew how she does these kinds of problems she goes from one thing to another and doesn’t explain it😭
To find the perimeter of a rectangle, we need to add the lengths of all four sides.
Given:
Width = (3u - 4v) centimeters
Length = (10u - 2v) centimeters
To find the perimeter, we add the lengths of all four sides:
Perimeter = 2(Length + Width)
Replacing the Length and Width with the given expressions:
Perimeter = 2((10u - 2v) + (3u - 4v))
Simplifying:
Perimeter = 2(13u - 6v - 2v)
Perimeter = 2(13u - 8v)
So, the expression that represents the perimeter of the rectangle is:
Perimeter = 26u - 16v
Therefore, the correct answer is D: 26u - 4v.
To find the perimeter of a rectangle, we need to add up the lengths of all four sides.
The width of the rectangle is given as (3u - 4v) centimeters, and the length is given as (10u - 2v) centimeters.
To find an expression for the perimeter, we add up the lengths of all four sides:
Perimeter = (Width + Length) + (Width + Length)
Plugging in the given values, we get:
Perimeter = (3u - 4v + 10u - 2v) + (3u - 4v + 10u - 2v)
Simplifying, we group like terms:
Perimeter = (3u + 10u) + (-4v - 2v) + (3u + 10u) + (-4v - 2v)
Combining like terms:
Perimeter = 13u - 6v + 13u - 6v
Simplifying further:
Perimeter = 26u - 12v
Therefore, the correct expression for the perimeter of the rectangle is 26u - 12v.
Out of the given options, the closest match is option C: 26u - 4v.
Note: It seems like you mentioned an option D: 26u - 4, but it seems to be missing the 'v' in the expression.