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 m2, find the length of the other base.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> 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 m2, find the length of the other base.      Log On

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Question 66086: 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 m2, find the length of the other base.
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+%28%28b%5B1%5D%2Bb%5B2%5D%29h%29%2F2+
+A+=+224+
+h+=+16+
+b%5B1%5D+=+20+
+224+=+%28%2820%2Bb%5B2%5D%2916%29%2F2+
multiply both sides by 2/16 to cancel the fraction
+224%282%29%2F16+=+%2820%2Bb%5B2%5D%29+
Multiply and reduce the quantity on the left
+28+=+20+%2B+b%5B2%5D+
subtract 20 from both sides
+8+=+b%5B2%5D+