1967 AHSME Problems/Problem 9
Problem
Let , in square units, be the area of a trapezoid such that the shorter base, the altitude, and the longer base, in that order, are in arithmetic progression. Then:
Solution
From the problem we can set the altitude equal to , the shorter base equal to , and the longer base equal to . By the formula for the area of a trapezoid, we have . However, since can equal any real number , none of the statements need to be true, so the answer is .
See also
1967 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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