Step-by-step explanation:
let x be the width of the rectangle.
given
length =
[tex]3x - 5[/tex]
inches.
also given Length + Width = 150 inches,
[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]
Since
Length = 3x-5 in
Width = x in,
Length = 3(38.75) - 5 = 111.25 in
Width = 38.75 in