A pentagon is formed by connecting the tips of a starfish's legs, as shown.
What is the area of the pentagon?
A.
71.5 square centimeters
B.
44 square centimeters
C.
91.5 square centimeters
D.
143 square centimeters
B. 44 square centimeters
Explanation: To find the area of the pentagon, we can split it into a rectangle and triangle. The rectangle has a base of 7 cm and a height of 4 cm, making its area 28 square cm. The triangle has a base of 4 cm and a height of 3 cm, making its area 6 square cm. Adding the area of the rectangle and triangle together gives us a total area of 28 + 6 = 34 square cm. However, since this only makes up 3/4 of the pentagon, we multiply 34 by 4/3 to find the total area of the pentagon, which is 34 * 4/3 = 44 square cm.