Answer: The perimeter is going to increase 25% from the square to the pentagon.
Step-by-step explanation:
- A square is a quadrilateral having its all sides equal.
- A equilateral triangle is a triangle that has equal sides.
Let the side of the given square be x.
Perimeter of square =4x
If a square is changed into a pentagon by building an equilateral triangle on top of it , Then the base of equilateral triangle will occupy the same side-length as that of square.
Thus , the pentagon will become a regular pentagon having all its sides equal.
Perimeter of pentagon = 5(side)= 5x
Increase in perimeter = Perimeter of pentagon- Perimeter of square
= 5x-4x= x
Now , the percent increase in perimeter =
Hence, the perimeter is going to increase 25% from the square to the pentagon.
