Question

Find the area of each figure. Round your answer to the nearest tenth

Answer 1

Answer:

62

Step-by-step explanation:

step 1: find the height of half the yellow coloured triangle (right angled triangle). remember that the angle formed at the center is always 36° for a pentagon.

tan36° = opposite/ adjacent

tan36° = 3/h (h for height)

h × ( tan36°) = 3

h = 3 / tan36°

h = 4.13

step 2: calculate area of the right angled triangle

Area = 1/2 × b × h

= 1/2 × 3 × 4.13

= 6.195

step 3: calculate the area of a Pentagon

a Pentagon can be divided into ten right angled

triangle

6.195 × 10

total area = 61.95

rounded off = 62