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Andy is building a fence around a rectangular garden 35 m long and 25 m wide.

he sets the posts 5m apart, how many posts will he need for the fence?

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The perimeter (P) of a rectangle is calculated as:

P = 2 * (length + width)

In this case, the length of the garden is 35 meters, and the width is 25 meters:

P = 2 * (35 m + 25 m)

P = 2 * 60 m

P = 120 meters

Now, we need to calculate how many sets of posts are needed along this perimeter, given that the posts are set 5 meters apart. To do this, divide the perimeter by the distance between each set of posts:

Number of posts = Perimeter / Distance between posts

Number of posts = 120 m / 5 m/post

Number of posts = 24 posts

Andy will need 24 posts to build the fence around the rectangular garden.

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