A rectangle measures 30 feet by 20 feet and has a post at each corner. If posts are placed 2 feet apart. How many posts will there be in all?

Explain and show work please.

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54 posts

To find the number of posts in total, we need to calculate how many posts are placed along the length and width of the rectangle and then add them together.

First, let's consider the length of the rectangle, which is 30 feet. We are given that the posts are placed 2 feet apart. To find the number of posts along the length, we will divide the length by the distance between each post.

Number of posts along the length = Length / Distance between each post
Number of posts along the length = 30 feet / 2 feet
Number of posts along the length = 15

So, there will be 15 posts along the length.

Now, let's calculate the number of posts along the width of the rectangle, which is 20 feet.

Number of posts along the width = Width / Distance between each post
Number of posts along the width = 20 feet / 2 feet
Number of posts along the width = 10

Therefore, there will be 10 posts along the width.

To find the total number of posts, we need to add the number of posts along the length and width:

Total number of posts = Number of posts along the length + Number of posts along the width
Total number of posts = 15 + 10
Total number of posts = 25

So, there will be a total of 25 posts in all.