Answer:
1. Area of the garden = 84 inch²
2. Diameter = 12 ft
Step-by-step explanation:
1 The area of the garden can be computed when you separate the composite shape into simpler ones. The shape can be separated into a trapezium and a rectangle.
The area of the garden will be the area of the rectangle plus the area of the trapezium.
area of rectangle = length × width
length = 10 inches
width = 5 inches
area of the rectangle = 10 × 5 = 50 inches²
Area of the trapezium = 1/2(a + b)h
a = 7 inch
b = 15 - 5 = 10 inch
h = 4 inch
area of the trapezium = 1/2 (7 + 10)4
area = 1/2(17)4
area = 68/2
area of the trapezium= 34 inch²
Area of the garden = 34 inch² + 50 inch² = 84 inch²
2. volume of a cylinder = πr²h
volume = 252π ft³
h = 7 ft
252π = π × r² × 7
252π = 7πr²
divide both sides by 7π
r² = 252π/7π
r² = 36
square root both sides
r = √36
r = 6 ft
Diameter = 2 × radius
Diameter = 2 × 6
Diameter = 12 ft
