Problema Solution
Steve plans to construct a bookcase with three shelves. The height of the case is to be 60 cm more than the width and only 6 meters of the wood is available. What should be the dimension of the bookcase?
Answer provided by our tutors
let
h = the height of the case
w = the width of the case
the height of the case is to be 60 cm more than the width
h = w + 60
only 6 meters = 600 cm of the wood is available
2(h + w) = 600 divide both sides by 2
h + w = 300
by solving:
h = w + 60
h + w = 300
we find:
h = 180 cm
w = 120 cm
click here to see the step by step solution of the system of equations:
the height should be 180 cm = 1.8 meters.
the width should be 120 cm = 1.2 meters.