If a pentagon has five sides. Two sides are three times the length of the shortest side. Two sides are five inches longer than the shortest side. Write and simplify an expression for the perimeter of the pentagon.

3x+3x+x+x-5+x-5 = perimeter

9x-10=perimeter

To write an expression for the perimeter of the pentagon, we need to determine the length of each side.

Let's say the shortest side of the pentagon has a length of "x" inches.

According to the problem, two sides are three times the length of the shortest side. So, these two sides would have a length of 3x inches each.

Additionally, two sides are five inches longer than the shortest side. Therefore, these two sides would have a length of (x + 5) inches each.

Now, we can calculate the perimeter by adding up all the sides:

Perimeter = shortest side + 3 times shortest side + 5 inches longer + 5 inches longer + shortest side

Perimeter = x + 3x + (x + 5) + (x + 5) + x

Simplifying the expression, we get:

Perimeter = 7x + 10 inches

So, the simplified expression for the perimeter of the pentagon is 7x + 10.