The equation p^(2) =5a represents the perimeter, p, of a square with an area, A, a square stained glass had an area of 20ft. What is the perimenter of the window?

Question

The equation
`p^(2) =5a` represents the perimeter, p, of a square with an area, A, a square stained glass had an area of 20ft. What is the perimenter of the window?

Answer 1

The area of the stained glass is given as 20ft².

Let's start by finding the length of one side of the square stained glass. Since the area of a square is given by the formula A = s^2, where s is the length of one side of the square, we have:

s^2 = A

s^2 = 20ft²

s = sqrt(20)ft

s = 2sqrt(5)ft

Now, we can use the given equation p^2 = 5A to find the perimeter p of the square, by substituting the value of A:

p^2 = 5A

p^2 = 5(20ft²)

p^2 = 100ft²

p = sqrt(100ft²)

p = 10ft

Therefore, the perimeter of the square stained glass is 10 feet.