1985 AJHSME Problems/Problem 12
Revision as of 21:20, 13 January 2009 by 5849206328x (talk | contribs) (New page: ==Problem== A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are <math>6.2 \text{ cm}</math>, <math>8.3 \text{ cm}</math> and <math>9.5 \text...)
Problem
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 
, 
and 
. The area of the square is
Solution
We are given the three side lengths of the triangle, so we can compute the perimeter of the triangle to be 
. The square has the same perimeter as the triangle, so its side length is 
. Finally, the area of the square is 
, which is choice 
