Question

The perimeter of a regular Pentagon is represented by the expression 35d-25 Daryl correctly wrote an expression to represent the length of each side of the Pentagon. Determine whether 35d-25/5 is equivalent to daryls expression.

Answer 1

The expression written by Daryl is Correct.

Step-by-step explanation:

Here, the given pentagon is  regular Pentagon.

So, the length of all 5 sides of the pentagon is EQUAL.

Let us assume the length of each side of the pentagon = S

Now, the perimeter of the Pentagon = Sum of all its sides

or, S+ S+ S +S + S  = 35  d  - 25

or, 5 S  =  35 d  - 25

or, S  = $\frac{35d - 25}{ 5} = (7d - 5)$

or, S  = (7 d - 5)

Hence, the each length of the pentagon is given as

(7d - 5) =   $\frac{35d - 25}{ 5}$

So, the expression written by Daryl is Correct.