1. 
ABCD is a rhombus. If AB=(9x  387), CD=(19x  817), find the value of x. 

2. 
In rectangle ABCD, AB=15 and BC=6. Find the length of the diagonal. 

3. 
In rhombus RSTW, m_{}RST=58. Find m_{}SRT. 

4. 
Find the perimeter of a rhombus with diagonals 12 and 20. 



7. 
In rectangle ABCD, AB=(x  5y + 94), BC=(3x + 2y  82), CD=(4x  6y + 55), and DA=(5x + 4y  164). Find the perimeter of the rectangle. 

8. 
In rectangle ABCD, two consecutive sides and the diagonal are all consecutive integers. Find the area of the rectangle. 



11. 
The perimeter of rhombus RSTU is 64 and the diagonal RT = 12. What is the area of the rhombus? 

12. 
ABCD is a rectangle with diagonals intersecting at E. Given that AB = 8 and BC = 5, find the length of _{}. 

13. 
In rectangle ABCD, diagonals _{} and _{} intersect at E. If AE=(3x  6y + 37), EC=(6x + y  10), and BD=(3x  3y + 41), find the length of _{}. 

14. 
In rectangle ABCD, diagonals _{} and _{} intersect at E. If AE=(11x  18) and CE=(2x + 45), find the length of BD. 
