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.

b.an increase in a causes b to decrease

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have