Question 35677
area of trapeaoid is (1/2)*height*(base1 + base2)
height = x+1
base1= x+6
base2 =x
area = (1/2)*(x+1)*(x+x+6) but area is given to be 48
therefor (1/2)(x+1)(2x+6) = 48
(x+1)(x+6)=48
x^2+6x+6=48
x^2+6x+6-48=0 
x^2+6x-42=0
x=(-6+sqrt(36+168))/(2) or x =(+6+sqrt(36+168))/(2)
x = (-6+14.28)/2 or x=(+6+14.28)/2
x = -4.14 or 10.14

length of side cannot be negative therefore x = 10.14