Find the area of the regular pentagon below by using the area formula for triangles.
a = 10 inches and b = 12 inches
*picture not drawn to scale
A.
300 in2
B.
120 in2
C.
25 in2
D.
600 in2
To find the area of the regular pentagon, we first divide it into 5 congruent triangles. Each triangle has a base of 10 inches and a height of 12 inches.
Next, we calculate the area of one triangle:
Area = 0.5 * base * height
Area = 0.5 * 10 * 12
Area = 0.5 * 120
Area = 60 square inches
Since the regular pentagon is made up of 5 congruent triangles, we can find the total area by multiplying the area of one triangle by 5:
Total Area = 60 * 5
Total Area = 300 square inches
Therefore, the area of the regular pentagon is 300 square inches, which is option A.