Answer: the perimeter is 108 yards. Here are the steps:
A:B
4:9 (Ratio of side A to side B.)
12:27 (A was increased 3x, so B needs to be increased 3x to keep above ratio the same when simplified. Ex. 15:20 simplifies down to 3:4.)
27+27+27+27=108yds (Perimeter is all of the sides added up.)
Hope this helps. :)
<h3>Given</h3>
- a rectangle x units wide and y units high divided into unit squares
<h3>Find</h3>
- The total perimeter of the unit squares, counting each line segment once
<h3>Solution</h3>
For each of the y rows of squares, there are x segments at the top, plus another x segments at the bottom. The total number of horizontal segments is then
... horizontal segment count = (y +1)x
Likewise, for each of the x columns of squares, there are y segments to the left, plus another y segments to the right of the entire area. Then the total number of vertical segments is
... vertical segment count = (x+1)y
The total segment count is ...
... total segments = horizontal segments + vertical segments
.. = (y+1)x +(x+1)y
... total segments = 2xy +x +y
_____
<u>Check</u>
We know a square (1×1) has 4 segments surrounding it.
... count = 2·1·1 +1 +1 = 4 . . . . (correct)
We know the 3×3 window in the problem statement has 24 segments.
... count = 2·3·3 +3 +3 = 18 +3 + 3 = 24 . . . . (correct)
We know a 1×3 row of panes will have 10 frame elements.
... count = 2·1·3 +1 +3 = 6 +1 +3 = 10
It looks like our formula works well.
The correct answer is b !! Hope this helps
The complete flow proof is:
- <em />
<em> ---- Given</em> - <em> </em>
<em> ---- Given</em> - <em />
<em> ----- </em>
<em> and </em>
<em> are supplementary angles</em> - <em /><em> ----- </em><em> and </em><em> are same-side interior angles</em>
- <em />
<em> ----- Proved</em>
We have:
<u>The proof of </u><u> is as follows:</u>
The first statement is:
---- Given
The next statement is:
---- Given
Supplementary angles add up to 
.
So, the third statement is:
----- and are supplementary angles
Same side of interior angles add up to .
So, the fourth statement is:
----- and are same-side interior angles
Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>
So, the last statement is:
----- Proved
Read more about proofs of parallel lines at:
brainly.com/question/18396272
Not very much because things don't always happen the way we want them too
