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Question
question 11 of 15
the perimeter of a rectangle is 50 inches. its width measures 11 inches. what is its length?
let x = the length of the rectangle. choose the equation that represents this problem.
a. 2x + 22 = 50
b. x + 11 = 50
c. 2x + 11 = 50
d. 2x - 11 = 50
Step1: Recall the perimeter formula for a rectangle
The perimeter formula for a rectangle is \(P = 2l+2w\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width.
Step2: Substitute the given values into the formula
Given \(P = 50\) inches and \(w=11\) inches, and \(l = x\). Then \(P=2x + 2\times11\).
Step3: Simplify the equation
\(2x+22 = 50\)
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A. \(2x + 22=50\)