Question

the length of a new rectangular playing field is 9 yards longer than double the width. if the perimeter of the rectangular playing field is 288 yards, what are it's dimensions?​

Answer 1

Explanation:

Width = w

Length =2w + 9

Perimeter = 288 yards

2*(length + width) = 288

2*(2w + 9 + w) = 288

2*(2w + w +9) = 288 {Combine like terms}

2*(3w + 9 ) = 288

2*3w + 2*9 = 288 {Use distributive property}

6w + 18 = 288 {Subtract 18 from both sides]

6w = 288 - 18

6w = 270 {Divide both sides by 6}

w = 270/6

w = 45 yards

Length = 2*45 + 9 = 90 +9 = 99 yards

Length = 99 yards

Width = 45 yards