Question

Area of triangle ABC = 23.85 sq units

Area of triangle ACD = 29.4 sq units
Area of triangle AED = 26.25 sq units
The area of ABCDE is how many sq units?

a) 78.50
b) 79.50
c) 79.65
d) 80.00

Answer 1

The total area of pentagon ABCDE is found by summing the areas of triangles ABC, ACD, and AED. Adding 23.85 sq units, 29.4 sq units, and 26.25 sq units gives a total of 79.5 sq units.

Step-by-step explanation:

To find the area of triangle ABCDE, we sum the areas of the individual triangles that compose it. The given areas are:

• Area of triangle ABC = 23.85 sq units
• Area of triangle ACD = 29.4 sq units
• Area of triangle AED = 26.25 sq units

By adding these areas together, we get the total area of the polygon ABCDE:

23.85 sq units + 29.4 sq units + 26.25 sq units = 79.5 sq units

Therefore, the total area of pentagon ABCDE is 79.5 square units, which corresponds to option (b).