An irregular polygon with 4 sides is shown. select the equation that can be used to find the side length, d, given the perimeter, p , and other three sides. a d=p−a−b+c b d=p−a−b−c c d=p/a−b−c d d=p−a+b+c

We know that the sum of the lengths of the sides of a polygon is the perimeter of the polygon, by definition.

Thus, in our case of four sided polygon with the side lengths as a,b,c and d and the perimeter as P, we can write the equation of the perimeter to be as:

Thus, if we have to find the side length, d, given the perimeter, P , and other three sides a,b and c, then we will have to isolate the d in the above equation by subtracting a+b+c from both sides. We will get:

Thus, the the equation that can be used to find the side length, d is:

From the given list Option B is the correct option.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2