Question

A square is 20 inches on each side.A square x inches on each side is cut from eachcorner of the square.Represent the area of the remaining portionof the square in the form of a polynomialfunction A(x).

Answer 1

The total area is going to be:

$A=20in*20in=400in^2$

The area of each mini square is:

$L*L=x*x=x^2$

But, we have four mini squares, so:

$Aminisquares=4*x^2$

So, the area of the remaining portion of the square is:

$A(x)=400-4x^2$

This function, A(x) is the answer.