The perimeter of a rectangle is 62 m. the length is four more than two times the width. what is the length?

Define length and width

Let x be the width
width = x
Length = 2x + 4


Formula

Perimeter = 2(length + width)


Find Length and width

62 = 2(2x + 4 + x)
62 = 2(3x + 4)             ← combine like terms   
62 = 6x + 8                 ← remove bracket   
62 - 8 = 6x                  ← minus 8 on both sides 
6x = 54                       ← swap sides  
x = 54 ÷ 6                   ← divide by 6 on both sides
x = 9 m


Find Length and Width

Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m


Length = 22m