Difference between revisions of "1998 CEMC Gauss (Grade 7) Problems/Problem 7"

(Created page with "== Problem == A rectangular field is 80 m long and 60 m wide. If fence posts are placed at the corners and are 10 m apart along the 4 sides of the field, how many posts are ne...")
 
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== Solution ==
 
== Solution ==
There is one post on each of the corners.
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There is one post on each of the corners, along with 7 other posts along each of the two lengths and 5 other posts along each of the two widths.
 
 
There are 7 posts along each of the two lengths and 5 posts along each of the two widths.
 
 
 
 
In total, this gives us <math>\boxed{\textbf{(C)}\ 28}</math> posts.
 
In total, this gives us <math>\boxed{\textbf{(C)}\ 28}</math> posts.
 
-edited by coolmath34
 

Latest revision as of 18:03, 7 April 2024

Problem

A rectangular field is 80 m long and 60 m wide. If fence posts are placed at the corners and are 10 m apart along the 4 sides of the field, how many posts are needed to completely fence the field?

$\text{(A)}\ 24 \qquad \text{(B)}\ 26 \qquad \text{(C)}\ 28 \qquad \text{(D)}\ 30 \qquad \text{(E)}\ 32$

Solution

There is one post on each of the corners, along with 7 other posts along each of the two lengths and 5 other posts along each of the two widths. In total, this gives us $\boxed{\textbf{(C)}\ 28}$ posts.