The perimeter of the square is:
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem

Dividing both sides by 2

Taking Square root on both sides

Now,

Hence,
The perimeter of the square is:
ft
Keywords: Perimeter, Pythagoras Theorem
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What is the measure of arc ADB?
The measure of the arc for this case is given by the following angle:
theta = 360-90
theta = 270 degrees
What is the length of arc ADB?
The arc length is given by:
s = R * theta
Substituting values:
s = 15 * (270 * (pi / 180))
s = 70.69 m
What is the area of the shaded region?
The area of the shaded region is:
A = (s' / s) * (pi) * (r ^ 2)
Substituting values:
A = (270/360) * (3.14) * (15 ^ 2)
A = 529,875 m ^ 2
We can solve this problem using the Pythagorean Theorem. The Pythagorean Theorem states, that with hypotenuse c, and legs a and b, a² +b² = c², and since this is a right triangle, that principle is true here. In this problem, we have the length of the hypotenuse and leg a. So, we can insert the values of the variables and then simplify to find out the length of b. 15²+b²=20²b²=400-225b²=175b=√175
The answer is -1/64, i hope its helps