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# Analyzing One-Variable Relationships in Context

## Exercise 1.4 - Solution

a

The perimeter of a rectangle can be determined by adding the four sides together. The sum of the shorter sides is and the sum of the longer sides is + If these are added, we'll get the perimeter of the rectangle.

The perimeter of the rectangle is
b
We are going to determine the length of the rectangle's sides. Thus, we must determine the value of Previously, we've written an expression representing the perimeter of the rectangle. Since the perimeter is equal to we can write the following equation. Now, we can solve it for
The short side of the rectangle is cm, and the longer side is cm.