Question

A rectangular piece of cardboard that is 7 inches by 20 inches has squares of length x inches on a side cut from each corner.
(Assume that 0 < x < 3.) Represent the remaining area in the form of a polynomial function A(x).

Answer 1

Answer:

The remaining area in the form of a polynomial function $A(x)= 140-4x^2$where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = $Length \times Breadth$

Area of cardboard = $20 \times 7$

Area of cardboard =$140 in^2$

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = $Side^2 = x^2$

Area of 4 squares = $4x^2$

Area of remaining portion $A(x)= 140-4x^2$

So, the remaining area in the form of a polynomial function $A(x)= 140-4x^2$where  0 < x < 3.