Question

PLEASE HELP BRAINLIEST 30 POINTS!!! IMAGE IS FOR FIRST QUESTION


1. George would like to build a garden this year. George measured out his proposed garden and would like to know how many square feet of space he will have to use. Calculate the area of his garden from the picture below.




2. George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below.


The volume of the tank is 252π 〖ft〗^3 and its height is 7ft.

Answer 1

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