Problem: The apothem of a square having its area numerically equal to its perimeter is compared with the apothem of an equilateral triangle having its area numerically equal to its perimeter. The first apothem will be:
Answer Choices:
A. equal to the second
B. times the second
C. times the second
D. times the second
E. indeterminately related to the second
Solution:
Let be the side of the square, its apothem; then and since , we have or . Let be the side of the equilateral triangle, its altitude and its apothem; then . Since , and , we have , and .