Find the area of the regular pentagon below by using the area formula for triangles.
a = 4 inches and b = 6 inches
*picture not drawn to scale
A.
60 in2
B.
120 in2
C.
24 in2
D.
10 in2
B. 120 in2
To find the area of the pentagon, we need to split it into 5 equal triangles. Each triangle has a base of 4 inches and a height of 6 inches.
Area of one triangle = (1/2) * base * height
= (1/2) * 4 * 6
= 12 in2
Since there are 5 equal triangles in the pentagon, the total area of the pentagon is:
Total area = 5 * 12 in2
= 60 in2
Therefore, the area of the regular pentagon is 60 in2.