## Elementary Algebra

Let w represent the width of the rectangle. The perimeter of the rectangle = width + width + length + length The perimeter of the rectangle = w + w + 20 + 20 The perimeter of the rectangle = 2w + 40 The perimeter should not be greater than 70, which means 2w + 40 $\leq$ 70. We solve this inequality to obtain: 2w + 40 $\leq$ 70 2w $\leq$ 30 Divide both sides by 2. w $\leq$ 15 The maximum value the width can be is 15.