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To calculate: the width of the provided rectangle.
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Answer to Problem 9E
The width of the rectangle is 4 units.
Explanation of Solution
Given information: a rectangle of perimeter 28 units with length 10 units and width ( x + 2).
Formula used:
P = 2(l+w)
Calculation:
Perimeter = 28 units
Length = 10 units
Width = ( x + 2)
Substitute the values in the formula,
Use the distributive property to open the parenthesis,
Combine the constant terms,
Subtract 24 from both sides,
Divide by 2 on both sides,
Substitute the value of x in the expression of width to find its value,
To check the value of width,
Hence, the width of the rectangle is 4 units.
Chapter 3 Solutions
ELEMENTARY+INTERMEDIATE ALGEBRA
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