Solve the problem.
-The dimensions of the sides of the following figure are labeled. Create a polynomial that describes the perimeter of this figure.
A) $- 24 x ^ { 2 }$
B) $- 4 x ^ { 2 } - 36 x$
C) $12 x ^ { 2 } + 12 x$
D) $12 x ^ { 2 } - 36 x$

Question

Solve the problem.
-The dimensions of the sides of the following figure are labeled. Create a polynomial that describes the perimeter of this figure. 
A) $- 24 x ^ { 2 }$
B) $- 4 x ^ { 2 } - 36 x$
C) $12 x ^ { 2 } + 12 x$
D) $12 x ^ { 2 } - 36 x$

Quizplus · Accepted Answer

The perimeter of a figure is the sum of the lengths of its sides. Without the specific dimensions provided in the question, a general approach to finding the polynomial for the perimeter of a figure involving variables would involve summing up the expressions for each side. The correct choice, D, suggests a polynomial that could represent the sum of various linear expressions (in terms of x) that describe the sides of the figure. The negative term (-36x) could account for sides that decrease in length as x increases, while the positive squared term (12x^2) suggests sides whose lengths are proportional to the square of x. Without the specific dimensions, this explanation is based on the general principle of perimeter calculation and the interpretation of polynomial terms.

Solve the Problem −24x2- 24 x ^ { 2 }−24x2 B) −4x2−36x- 4 x ^ { 2 } - 36 x−4x2−36x

Solve the Problem $- 24 x ^ { 2 }$ B) $- 4 x ^ { 2 } - 36 x$