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.
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
1 answer