Bookcase word problem

Question

A bookcase is to have 4 shelves (this includes the top)

The width is to be 4 feet less than 3 times the height. Find the width and the height if the carpenter expects to use 26 feet of lumber to make it.

width (ft)

Height(ft)

Answer 1

4 shelves

width 4 feet less than 3 times height

26 feet lumber total

what is width and height of the bookcase??

2h + 4w = 26

w = 3h -4

2h + 4(3h-4)= 26

14h = 26+16 = 42

h = 42/14 = 3 feet high

w = 3(3)-4 = 5 feet wide