A square is 6 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x)
.

Draw a square with 4 equal sides that are 6 inches long. Then draw a small square on a corner of your drawn square. A(x) = 36 - A^2

a being the area of the smaller square
A^2= area of a square.

Answer Link

wifilethbridge wifilethbridge · Answer 2 · 2019-09-10T06:51:48+02:00

Answer:

[tex]A(x) = 36-4x^2[/tex]

Step-by-step explanation:

Side of original Square = 6 inches

Area of square = [tex]Side^2[/tex]

Area of square = [tex]6^2[/tex]

=[tex]36 inches^2[/tex]

Now we are given that A small square, x inches on each side, is cut out from each corner of the original square

Area of small square = [tex]Side^2 = x^2[/tex]

Original square has four corners

So, Area 4 small squares = [tex]4x^2[/tex]

Let the remaining area be A(x)

So, Remaining area = Original Area - Area of 4 small squares

[tex]\Rightarrow A(x) = 36-4x^2[/tex]

Hence the area of the remaining portion of the square in the form of a polynomial function A(x) is [tex]A(x) = 36-4x^2[/tex]

A square is 6 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x) .

Respuesta :

Otras preguntas

A square is 6 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x)
.