SOLUTION: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m^2, find the length of the other base.

Algebra ->  Expressions-with-variables -> SOLUTION: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m^2, find the length of the other base.      Log On


   



Question 58628This question is from textbook Beginning Algebra
: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m, one base is 20 m, and the area is 224 m^2, find the length of the other base.
This question is from textbook Beginning Algebra

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
Ht of the trapezoid = 16m
One base = 20m
Area of the trapezoid = 224m^2
We know A = 1/2 (h)(B+b)
==> 224 = 1/2 (16)(B+20)
==> 224 = 8(B+20)
==> 28 = B+20 [Dividing both the sides by 8]
==> 8 = B [Adding -20 to both the sides]
So the length of the other base = 8 m