find the area of polygon
Answers
Hey there!
Answer:
i) 494 cm²
ii) 300 cm²
Step-by-step explanation:
(i) This polygon consist of 2 triangles and a square.
Area of both the triangles will be same as they have same base and height.
Now,
Base = 35 cm
Height = 10
Area of one Δ = 1/2 * base * height
= 1/2 * 35 * 10
= 35 * 5
= 175 cm^2
Area of both the Δs = 2 * 175
= 350 cm^2
Now, area of square = side²
= (12)² = 144 cm^2
Area of required polygon = 144 + 350 = 494 cm^2
ii) It consist of two Δs.
Area of smaller Δ = 1/2 * base * height
= 1/2 * 20 * 12
= 20 * 6 = 120 cm^2
Height of bigger circle = 30 - 12 = 18 cm
Area of bigger circle = 1/2 * base * height
= 1/2 * 20 * 18
= 20 * 9 = 180 cm^2
Area of required polygon = 180 + 120 = 300 cm^2
Hope It Helps You!
