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question 11 of 15 the perimeter of a rectangle is 50 inches. its width …

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

Explanation:

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

\(2x+22 = 50\)

Answer:

A. \(2x + 22=50\)