Answer:
(a) 33.7 cm
(b) 79.25 cm²
Explanation:
(a)
Find the perimeter of the semicircle (circumference ÷ 2).
10 cm is the diameter of the semicircle.
The perimeter of the semicircle
= (10 × 3.14) ÷ 2
= 31.4 ÷ 2
= 15.7 cm
The perimeter of the shape
= 15.7 + 10 + 4 + 4
= 33.7 cm
(b)
Find the area of the circle then divide to 2
The formula of the area of a circle
= πr²
The radius of the circle
= 10 ÷ 2
= 5 cm
The area of the semicircle
= (3.14 × 5²) ÷ 2
= 78.5 ÷ 2
= 39.25 cm²
The area of the rectangle
= 4 × 10
= 40 cm²
The area of the shape
= 39.25 + 40
= 79.25 cm²