1952 AHSME Problems/Problem 38
Problem
The area of a trapezoidal field is square yards. Its altitude is yards. Find the two bases, if the number of yards in each base is an integer divisible by . The number of solutions to this problem is:
Solution
Let us denote and to be our bases. Without loss of generality, let .
Thus,
Since & are integers, we see that the only solutions to this equation are , , and . Therefore, the answer is
See also
1952 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 37 |
Followed by Problem 39 | |
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