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.