SOLUTION: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m second power, find the length of the other base.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m second power, find the length of the other base.      Log On


   



Question 116899: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m second power, find the length of the other base.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(b1+b2)/2*h=area
(20+b2)/2*16=224
(20+b2)*8=224
160+8*b2=224
8b2=224-160
8b2=64
b2=64/8
b2=8m is the second base.
proof:
(20+8)/2*16=224
28/2*16=224
14*16=224
224=224