The length of a new rectangle is 3 yards longer then quadruple the width. If the perimeter is 606 yards what are the dimensions.

**x = width**

4x + 3 = length{three yards longer than quadruple the width}

4x + 3 = length

**Perimeter of a rectangle = 2(width) + 2(length)**

2x + 2(4x + 3) = 606 {substituted width and length into perimeter formula}

2x + 8x + 6 = 606 {used distributive property}

10x + 6 = 606 {combined like terms}

10x = 600 {subtracted 6 from each side}

x = 60 {divided each side by 10}

4x + 3 = 243 {substituted 60, in for x, into 4x + 3}

**width = 60 yds**

length = 243 yds

length = 243 yds

**- Algebra House**