SOLUTION: ABCD is a trapezium in which AB is parallel to DC and ABC=90 (a)Given that AB=(2x-1)cm and DC=(x+1)cm and BC=(x-2)cm and that the area of the trapezium is 36cm form an equation in

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: ABCD is a trapezium in which AB is parallel to DC and ABC=90 (a)Given that AB=(2x-1)cm and DC=(x+1)cm and BC=(x-2)cm and that the area of the trapezium is 36cm form an equation in      Log On


   

Question 1151015: ABCD is a trapezium in which AB is parallel to DC and ABC=90
(a)Given that AB=(2x-1)cm and DC=(x+1)cm and BC=(x-2)cm and that the area of the trapezium is 36cm form an equation in x and show that it reduces to.
(b) solve the equation and hence find the length of AB
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the picture and label the parts if necessary.

%28%28AB%2BCD%29%2F2%29%28BC%29=36
%28AB%2BDC%29%28BC%29=72
%282x-1%2Bx%2B1%29%28x-2%29=72
.
.
x%5E2-2x-24=0
x%28x-2%29=24
highlight%28x=6%29

Length of AB
2x-1
2%2A6-1
highlight%2811%29------------------AB