Question

Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5(m + 10) Which equation shows this formula solved for m? A. m =P − 5 / 10 B. m = 5P − 50 C. m = P − 50 / 5 D. m = P5 − 50

Answer 1

Solving for m gives:

`m=(P-50)/(5)`

which is option C in the list of possible answers

Explanation:

Starting with the given equation, we work on using distributive property, and then on isolating the term with the variable to express:

`P=5\,(m+10)\\P=5m+50\\P-50=5m\\(P-50)/(5) = m\\m=(P-50)/(5)`