Question

What is the formula to solve for the value of 'c' in the perimeter formula of a parallelogram, given by P = 2b + 2c? Which of the following options correctly represents the formula for 'c'?

A) c = P/4b
B) c = P/2 - b/2
C) c = P/w - b
D) c = P/2 + b

Answer 1

To find the value of 'c' in the parallelogram perimeter formula P = 2b + 2c, subtract 2b from both sides and then divide by 2, leading to the formula c = P/2 - b/2, which is option B.

Step-by-step explanation:

The formula to solve for the value of 'c' in the perimeter formula of a parallelogram, which is given by P = 2b + 2c, can be found by isolating 'c'. Starting with the perimeter equation:

P = 2b + 2c

We can subtract 2b from both sides to isolate the terms with 'c':

P - 2b = 2c

Then, divide both sides of the equation by 2 to solve for 'c':

c = (P - 2b) / 2

So, the correct formula for 'c' is c = P/2 - b/2, which corresponds to option B.