A rectangle’s base is 1-in shorter than twice its height. The rectangle’s area is 6 in^2. Find this rectangle’s dimensions.
The rectangle’s height is.
The rectangle’s base is
base = 2h - 1
height = h
Area = base * height
6 = (2h - 1) * h
6 = 2h^2 - h rearrange as
2h^2 - h - 6 = 0 factor as
(2h + 3) ( h - 2) = 0
The second factor set to 0 gives us what we need
h - 2 = 0
h = 2 in
b = 2(2) - 1 = 4 - 1 = 3 in
+409 
