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geometry

by ROHIT11111 » Tue May 03, 2016 1:22 am
A rectangular paddock is 45 metres long and 21 metres wide. A farmer wishes to construct a fence around the perimeter of the paddock. The fencing will be fastened to posts positioned 3 metres apart around the perimeter. How many posts will be needed?

Options- 44, 24, 35, 40
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by 800_or_bust » Tue May 03, 2016 3:07 am
ROHIT11111 wrote:A rectangular paddock is 45 metres long and 21 metres wide. A farmer wishes to construct a fence around the perimeter of the paddock. The fencing will be fastened to posts positioned 3 metres apart around the perimeter. How many posts will be needed?

Options- 44, 24, 35, 40
First, evaluate the perimeter of the paddock.

Perimeter = 2L + 2W

So the perimeter of the paddock is equal to (2)(45) + (2)(21) = 132.

Next, we know that a post will be placed on the fencing every three meters, so we can simply divide the perimeter by 3 in order to get the number of posts.

132/3 = 44 and the answer is A.
800 or bust!
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