SOLUTION: I need help on checking the statements, which ones apply and which do not. Image: https://imgur.com/Q2Vy67e 3. Six congruent square pavers are arranged as a walkway throu

Question 1105935: I need help on checking the statements, which ones apply and which do not.
Image: https://imgur.com/Q2Vy67e

3. Six congruent square pavers are arranged as a walkway through a garden as seen below. The diagonal connecting two of these pavers is 15 inches.

Check all that apply.
 The length of one side of a square is 5 sqrt 3 inches.
 The perimeter of one square is 75 inches.
 The area of one square is 225 square inches.
 The area of the entire L shaped path is 450 square inches.
 The perimeter of the entire path is 60 sqrt 3 inches.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
NOTE/WARNING: We like to help and explain, but by giving you the answers,
we may be hurting more than helping. I over-helped my youngest son through high school, and he paid for that in college.
Ideally, you should know what you know, and be sure of your answers.
You should be able to rely on your own knowledge to judge if your answer is right or wrong.
The teacher will judge and grade your answers,
and with some luck will explain where and why there was a mistake.
Sadly, students are used to accepting a teacher's answer, understood or not,
and caring mostly about the grade in the current USA educational rat race.
The end result is some high school graduates that learn to think by themselves when they are in college,
or in graduate school, or in a job, or never.
Hopefully you will not be one of them.
If I hire you to make me a walkway (or a wheelchair ramp),
I will not ask about your GPA,
or if you finished high school,
but I will make sure that you can solve problems like this.
(I already have a ramp that does not meet codes).

MY ANSWER, FOR YOU TO SEE IF YOU AGREE, AND IF THE EXPLANATIONS MAKE SENSE:

Here is what the drawing looks like,with the diagonal in red.
. (I am not drawing the grass).

Let be the length of one side of a square paver, in inches.
The red diagonal is the hypotenuse of a right triangle with leg length, in inches,
and .
According to the pythagorean theorem, the length of the diagonal is
.
The problem says that diagonal's length, in inches, is .

The length of one side of a square paver is inches.
Of course, that can be written as too,
but if you have homework like this, you must have learned that long before now.

The perimeter of one square paver is 4 times the length of one side, so it is

inches.

The area of one square with side length is ,
so based on as the length of a side in inches,
the area of one square paver, in square inches, is

The whole walkway is made up of square pavers and nothing else,
so the whole walkway's area in square inches is
.

The perimeter of the entire path is as long as square paver sides.
You can find that number by counting the sides of the pavers that are on the edge of the walkway, against the grass.
Alternatively, you can see that the walkway is
3-paver rectangles attached by yhe sides of one paver from each rectangle, so that is
paver sides per rectangle,
times rectangles,
minus the paver sides that attach rectangle to rectangle.
That is
sides = sides = sides.
With being the length, in inches, of one side of a square paver,
the perimeter of the entire path, in inches, is
.
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