# Think Tank

by K.H. “Wicks” Wickremasinghe

The Building Lot
“What is the size of the lot you bought to build your starter home?” Susan asked David, the newly hired engineer.

David replied, “It is a rectangular lot where the diagonals plus its longer sides are nine times the length of one of the shorter sides. All of the lengths are an integral number of feet.”

What is the smallest possible dimension of the lot?

Grand Prize Winners
Congratulations to Ivy Qin of Kulicke & Soffa Industries (Willow Grove, Pa.) for solving the Dwindling Society challenge, and to Albert Jew of Raytheon Co. (Attleboro, Mass.) for solving CrossNumber 74!

CrossNumber 76
(All answers are numbers; prime means a prime number.)

Across
1. 2 x (27 Down + 13 Down)
4. (4 Down squared)/4
7. 4 Across x 8 Down
9. Prime
10. 3 x 4 Down
14. 4 Down x 29 Down/2
17. 11 Down x (4 Down + 27 Down)
18. 4 Down x (3 Down – 21 Down)
19. 1 Down x (27 Down – 8 Down)
23. 26 Down x (4 Down – 6 Down)
26. 12 Down x 27 Down/2
28. 2 x 8 Down x (14 Across – 30 Down)
31. 2 x 4 Down x 8 Down
32. 3 Down + 12 Down

Down
1. Prime
2. 8 Down x (4 Down + 27 Down)
3. Prime
4. 27 Down + 2 x 8 Down
5. 4 Down + 8 Down x 21 Down
6. Prime
8. Prime
9. (18 Across + 32 Across)/2
11. (6 Down + 8 Down)/2
12. Prime
13. 2 x (10 Across + 6 Down)
15. 3 Down x 8 Down
16. 19 Across – 4 Down
20. 15 Down – 3 Down – 11 Down
21. (24 Down + 26 Down)/2
22. 4 Down x 6 Down/2
24. 8 Down x 27 Down/2
25. 14 Across + 3 Down
26. 6 Down + 8 Down
27. 20 Down/(21 Down – 6 Down)
29. Prime
30. (27 Down squared)/4

Solutions to June's Puzzles:

CrossNumber 74
Dwindling Society