An equilateral triangle, a square and a regular pentagon are connected as shown. If the sides of all figures are 8 cm and the apothem of the pentagon is 5.5 cm, find the area of the entire figure.
an equilateral triangle of side 8 touching a square of side 8 touching a regular pentagon of side 8
Here are the formulas you will need:
Area of Triangle = ½ base x height
Area of Square = (side)2
Area of Pentagon = ½ apothem x perimeter

Question

An equilateral triangle, a square and a regular pentagon are connected as shown. If the sides of all figures are 8 cm and the apothem of the pentagon is 5.5 cm, find the area of the entire figure.
an equilateral triangle of side 8 touching a square of side 8 touching a regular pentagon of side 8 
Here are the formulas you will need: 
Area of Triangle = ½ base x height 
Area of Square = (side)2 
Area of Pentagon = ½ apothem x perimeter