SOLUTION: Need help in solving:
Roses 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 squared. find the length of the o
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Roses 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 squared. find the length of the o
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Question 48159This question is from textbook Beginning Algebra
: Need help in solving:
Roses 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 squared. find the length of the other base. This question is from textbook Beginning Algebra
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Roses 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 squared. find the length of the other base.
Use the formula for the area of a trapazoid:
Area = (1/2)(height)(base #1 + base #2)
224 = (1/2)(16)(20 + x) [Plug-in the values]
224 = (8)(20 + 2)[Simplify]
224/8 = (8)(1/8)(20 + x) [Solve for x]
28 = 20 + x
28 - 20 = 20 - 20 + x
8 = x
.
Check by plugging (x = 8) back into the original equation:
224 = (1/2)(16)(20 + (8))
224 = 224 [Checks out]
