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 65177: 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
Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the other base of a trapezoid whose height is 16 metres, first base is 20, and whose area is 224 square metres.
Starting with the formula for the area of a trapezoid with bases, b1 and b2, and height,h:
A+=+%28%28b1%2Bb2%29%2F2%29h where: h = 16m, b1 = 20m, and A = 224 sq.m, we'll solve for b2.
224+=+%28%2820%2Bb2%29%2F2%2916 Divide both sides by 16.
14+=+%2820%2Bb2%29%2F2 Multiply both sides by 2.
28+=+20%2Bb2 Subtract 20 from both sides.
8+=+b2
The length of the other base is 8 metres.
Check:
%28%2820%2B8%29%2F2%2916+=+%2814%29%2816%29 = 224

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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
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Formula for the area of a trapezoid:
A=h/2(b1+b2)
224=(16/2)(b1+20)
224=8(b1+20)
28=b1+20
b1=8 m
The length of the other base is 8 meters.
Cheers,
Stan H.