Question

Find the peimeter of a rectangle whose length is 4c^(3)-4c+3 and the width is triple the length. Find the perimeter in simplest form, written in standard form.

Answer 1

To find the perimeter of the rectangle, add up all four sides after determining the length and width. The length is given as 4c^3 - 4c + 3 and the width is triple the length.

Step-by-step explanation:

To find the perimeter of a rectangle, we need to add up all four sides of the rectangle. In this case, the length of the rectangle is given as 4c^3 - 4c + 3 and the width is triple the length. So, the width of the rectangle is 3(4c^3 - 4c + 3). The perimeter is then calculated as:

Perimeter = 2(Length + Width)

Substituting the values, we get:
Perimeter = 2(4c^3 - 4c + 3 + 3(4c^3 - 4c + 3))

Simplifying further, Perimeter = 2(4c^3 - 4c + 3 + 12c^3 - 12c + 9)

Perimeter = 2(16c^3 - 16c + 12)

Perimeter = 32c^3 - 32c + 24