Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR = 8. Find XY^2.

We can drop a perpendicular from X to PQ at A, and from Y to RS at B.  Then XA = YB = 48/10 = 24/5. We can also draw a line through X parallel to BY meeting the line through Y parallel to RS at C.

Then XC = 24/5 + 24/5 +  10 = 98/5 and YC = 10 - 34/5 = 16/5, so XY^2 = XC^2 + YC^2 = (98/5)^2 + (16/5)^2 = 1972/5.

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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