Question

in frame is a square stained glass window in which a green square glass is surrounded by blue glass. the side length of the window is ( 20x ), and the area of the green piece is other. what is the area of the blue glass? write your answer in factored form.
what is the area in factored form?
( 40x^2 - 25pi )
( 400x^2 - 64x^2pi )
( 16x^2(25 - 4pi) )
( 4x^2(5 + 4pi) )

Explanation:

Step1: Find square's total area

The side length of the square window is $20x$, so its area is $(20x)^2 = 400x^2$.

Step2: Subtract green area from square

The area of blue glass is square area minus green area: $400x^2 - 64\pi x^2$.

Step3: Factor out common term

Factor out the greatest common factor $16x^2$: $16x^2(25 - 4\pi)$.

Answer:

$16x^2(25-4\pi)$