SOLUTION: the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is x+6 and base is x

Question 35677: the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is x+6 and base is x
Answer by narayaba(40) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is... (answered by Earlsdon)

If the area of a trapezoid is 32 and base 1 is x + 6 and base 2 is x+2 and the height =... (answered by Maths68)

a triangular sail has an area of x squared +5x+6 squared meters and a height of x+3... (answered by nerdybill)

The area of the trapezoid is 44.25 square feet find x if the top base is 6.7 inches and... (answered by checkley71)

A trapezoid has dimensions of base 1 = 2 inches, base 2 = 4 inches, and a height of 6... (answered by Greenfinch)

I have 2 triangles in a trapezoid. there is an "X" in the trapezoid coneecting corners... (answered by psbhowmick)

find the height and base of a rectangle if it has a base of x+2 and height of x-2 with an (answered by ameanes)

A triangle has a base of X + 3, the height is X + 6 and the area is 135. Find X... (answered by stanbon)

A triangle has a base of X + 6, the height is X + 8 and the area is 60. Find X... (answered by mananth)