Quandaries and Queries 

A pond is enclosed by a wooden deck that is 3 feet wide. The fence surrounding the deck is 100 feet long.
Hi Dat,
I'll do the second part of this problem for you and then you should be able to do the others. First draw a diagram. The pool is blue, the deck is brown and the fence is red.
The fence is 100 feet long. How much fence would it take if you only wanted to surround just the pool and not the deck? You could eliminate the 4 Lshaped pieces of fencing that I coloured yellow in the diagram below. Each of these pieces is 3 feet by 3 feet so you could eliminate 3 8 = 24 feet of fencing. Hence the perimeter of the pool is 100  24 = 76 feet. Now look at the pool by itself. It is 3 times as long as it is wide. If you had a length of fence that is enough for the width of the pool (I coloured it red) then, as you can see by the diagram, you would need 8 of these lengths to surround the pool. Thus Since the pool is 3 times as long as it is wide its length is 3 9.5 = 28.5 feet. Cheers,Penny 

