22,24,26,28.

label Mathematics
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May 1st, 2015

22. (b+2b)/2 *3=13.5 ; 9b/2=13.5; 4.5b=13.5; b=3  

24. One diagonal is 46. We use pythagoras to find the other diagonal. 16^2+b^2=20^2 ;b=12 is half the diagonal. Thus the diagonal is 24 and we have 12*46=552 is the area. 

26. 20*21 plus the triangle    . We infer it has one side 20 and hypotenuse 29 . Solving, 20^2+b^2=29^2; b=21. Thus 10*21 is the area of the triangle. Thus we have 30*21=630 overall.

28. By 3-4-5 triangles the kit has diagonals 6 and 8. Thus it has area 24. The parallelogram region has height 3 by 3-4-5 triangle so it has area 12. Thus in total we have 36 area. 

May 1st, 2015

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