Posted by **jujube** on Sunday, January 20, 2008 at 7:44pm.

1. A rhombus has a perimeter of 96, and the length of one of its diagonals is 32. The area of the circle inscribed in the rhombus can be expressed as k*pi/w where k and w are relatively prime positive integers. Find the value of k + w.

2. The base and height of an original rectangle are each increased by 15%. The area of the new rectangle is k/w times the area of the original rectangle. If k and w are relatively prime positive integers, find the value of k + w.