Question
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
a = 10 inches and b = 12 inches
*picture not drawn to scale
A.
300 in2
B.
120 in2
C.
25 in2
D.
600 in2
Answers
GPT 3.5
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.
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.