<PRE><B>Question 1041162</B>
height = x
base = x+4


Area = 0.5*base*height
Area = 0.5*(x+4)*x
Area = 0.5x^2+2x


Plug in the given area of 48 and solve for x


Area = 0.5x^2+2x
48 = 0.5x^2+2x
0.5x^2+2x-48 = 0
x^2+4x-96 = 0
(x+12)(x-8) = 0
x+12 = 0 or x-8 = 0
x = -12 or x = 8


Ignore the negative solution
Since x = 8, this means x+4 = 8+4 = 12


Height= 8 cm
Base = 12 cm


Check:
0.5*base*height = 0.5*8*12 = 48
Answer is confirmed</PRE>