The length of a rectangle is one more than five times its width. If the perimeter is 38, find the dimensions.

Hello:

let : y The length and x the width ... the perimeter is : 2 (x+y)

The length of a rectangle is one more than five times its width: y = x + 5

the system is: 2 (x+y) = 38 ... (1)

y = x + 5 ... (2)

subst in (1) : 2 (x+x+5) = 38

4x+10 = 38

4x = 28 ... x = 7

but: y = x + 5

y = 7+5 = 12