SOLUTION: A trapezoid has a base length in the ratio of 2:6. If the area of the of the trapezoid is 260 and the altitude is 5, then what is the length of the longer base?
A)20
B)26
C)65
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A)20
B)26
C)65
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Question 1143598: A trapezoid has a base length in the ratio of 2:6. If the area of the of the trapezoid is 260 and the altitude is 5, then what is the length of the longer base?
A)20
B)26
C)65
D)78 Answer by ikleyn(52754) (Show Source):
The bases are 2x and 6x, where "x" is their common measure, according to the condition.
The area of the trapezoid is A = square units.
The equation to find "x" is THIS :
= 260.
Solve it for x:
8x = = 104.
x = = 13 units.
ANSWER. The longer base is 6*13 = 78 units long.
