Area of the heart is 178.5 cm² and Perimeter is 51.4 cm
Step-by-step explanation:
Total area of heart = Area of the square + 2 × area of the semi circle
Calculate the area of the square where side = 10 cm
⇒ Area of the square = side² = 10² = 100 cm²
Calculate the area of the 2 semicircles where radius = 10/2 = 5 cm
⇒ Area of the semicircle = 1/2 × π × r²
⇒ Area of the 2 semicircles = 2 × 1/2 × π × r² = 3.14 × 5² = 78.5 cm²
⇒ Total area of the heart = 100 + 78.5 = 178.5 cm²
Calculate the perimeter of the heart = length of 2 sides of the square + 2 × perimeter of the semicircle (since there are 2 semicircles)
⇒ Perimeter = 10 + 10 + 2 × π × r (since perimeter of semicircle = πr)
⇒ Perimeter = 20 + 2 × 3.14 × 5 = 20 + 31.4 = 51.4 cm
