Problem: A square and an equilateral triangle have equal perimeters. The area of the triangle is 93​ square inches. Expressed in inches the diagonal of the square is:
Answer Choices:
A. 9/2
B. 25​
C. 42​
D. 92​/2
E. none of these
Solution:
A( triangle )=93​=4s23​​∴s=6
P( triangle )=18=P( square )
∴ side of the square, x=29​∴ diagonal of the square =2x2​=292​​