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Chapter 2: Problem 12

A rectangle has a width of 46 centimeters and a perimeter of 208 centimeters. What is the rectangle's length?

Short Answer

Expert verified
The rectangle's length is 58 cm.

Step by step solution

01

Understand the formula

The perimeter of a rectangle is given by the formula \(Perimeter = 2*(length+width)\). We are given the perimeter and the width and need to solve for the length.
02

Substitute the given values into the formula

Substituting the given values into the formula, we get \(208 = 2*(length + 46)\).
03

Solve for the length

First, simplify the equation by dividing both sides by 2: \(104 = length + 46\). Then, subtract 46 from both sides to solve for the length: \(length = 104 - 46\).

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