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^2, find the length of the other base. I think that the

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Question 38586This question is from textbook Beginning Algebra
: 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^2, find the length of the other base.
I think that the equation is: 224m^2=1/2 16m (20m + b)
(The 1/2 is a fraction) Anyway, I THINK that's the equation, but if it is, I don't know how to solve it!
This question is from textbook Beginning Algebra

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
You have it set up right, but I think you are confusing yourself with the units of m and m^2. I suggest that you just solve the equation for the unknown which is b, and apply the units at the end of the problem. It will look like this:
224+=+%281%2F2%29%2A%2816%29%2820%2Bb%29+

Now, take the one half times the 16, which is 8. Now it should begin to look a LOT better.
224+=+8%2820%2Bb%29+

In fact, you can divide both sides by 8, since 8 goes into 224 evenly (28 times!)
224%2F8+=+%2820%2Bb%29
28=+20%2Bb%29+
b=+8+ meters.

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