The area of the pool that needs to be covered is 960.42 square feet.
<h3>What is Pythagoras theorem give example?</h3>
- To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem.
- The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.
According to the question:
- We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.
- To find the area of community pool we will use area of pentagon formula.
, where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.
Let us find the perimeter of our given pentagon by multiplying each side length by 5.

Now let us find apothem of our pentagon by using Pythagoras theorem.

Upon substituting our given values in above formula we will get,

Therefore, the area of the pool that needs to be covered is 960.42 square feet.
Learn more about Pythagoras theorem here:
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To write a percent as a decimal you move the decimal point two spaces to the left. Therefore the decimal best representing 27.2% would be .272
Ok so we know that the total perimeter of the rectangle is 48m.
We also know that to get the perimeter, it is the sum of two lengths and two widths.
Therefore 2L + 2W = 48
However, we also know that the width is 2m less than the length, so the above equation can be rewritten as:
2L + 2(L-2) = 48
We can simplify this to make it
4L - 4 = 48
So 4L = 52
Hence L = 13.
We know that the width is 13-2, so the width is 11.
So the length is 13m and the width is 11m
Hope this helped
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles