Find the area of an invitation card which has two semicircles attached

1.	Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. (π = 22/7)
Answer» Area of the card = Area of the rectangle + area of 2 semicircles Length of the rectangle l = 30 cm Breadth b = 21 cm Radius of the semicircle = 21/27 ∴ Area of the card = (l × b) + (2 × 1/2 πr²) sq. units = 30 × 21 + 22/7 × 21/2 × 21/2 cm² = 630 + 346.5 = 976.5 cm² (approximately) ∴ Area of the Invitation card = 976.5 cm²

Find the area of an invitation card which has two semicircles attached to a rectangle as in the figure given. (π = 22/7)

Answer»

Area of the card = Area of the rectangle + area of 2 semicircles

Length of the rectangle l = 30 cm

Breadth b = 21 cm

Radius of the semicircle = 21/27

∴ Area of the card

= (l × b) + (2 × 1/2 πr²) sq. units

= 30 × 21 + 22/7 × 21/2 × 21/2 cm²

= 630 + 346.5

= 976.5 cm² (approximately)

∴ Area of the Invitation card = 976.5 cm²