The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft about how many trees will be planted. explain. 12 is an incorrect answer.

We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.

This means that the side lengths of both of them combined will be [tex]234-52-68=114[/tex]

This means the side adjacent to Dayton Avenue is

[tex]114\div2=57[/tex] feet long.

Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.

[tex]57\div20=2.85[/tex]

Rounding down gets us 2.

Hope this helped!

oeerivona oeerivona · Answer 2 · 2021-08-13T07:01:35+02:00

The number of trees to be planted is 2 trees

The process of arriving at the above number of trees is as follows;

The given parameter are;

The perimeter of the plot of land adjacent to Dayton Avenue = 234 ft.

The perimeter has two pair of unknown lengths sides marked with equal lengths symbols

One length each of the two congruent pairs form a linear pair adjacent to the road

The length of one of the other side = 52 feet

The length of the fifth side of the perimeter = 68 ft.

Method;

Let, x, and y represent the lengths of the congruent pairs, we have;

52 ft. + 68 ft. + 2·x + 2·y = 234 ft.

2·x + 2·y = 234 ft. - (52 ft. + 68 ft.) = 114 ft.

The length of the linear pair forming the side of the perimeter adjacent to the road, x + y = 114 ft./2 = 57 ft.

The number of trees planted every 20 ft. = 1 tree

The number of trees, n, that can be planted along the perimeter of the plot of land adjacent to Dayton Avenue which is 57 ft. long is therefore;

n = 57 ft./(20 ft./Tree)

∴ n = 57/20 Trees = 2.85 trees

The number of trees that can actually be planted by the owners of the plot

of land is given by rounding down to the next whole number, given that the

the information is statistical analysis which gives;

n ≈ 2 Trees

The number of trees to be planted = 2 trees

Learn more about statistical analysis here;

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