Question

Area involving rectangles and circlesA rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide.Find the area of the garden. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

To find the area of the rose garden, the first step is to find the area of the rectangular section. The formula for calculating the area of a rectangle is expressed as

Area = length x width

From the information given,

length = 24

width = 18

Thus, Area of rectangular section = 24 x 18 = 432

The next step is to find the area of the semicircular section, we would apply the formula for calculating the area of a semicircle which is expressed as

area = 1/2 x pi x radius^2

From the information given,

diameter of semicircle = width of rectangular section = 18

radius = diameter/2 = 18/2 = 9

By substituting these values into the formula,

Area of semicircular section = 1/2 x 3.14 9^2 = 127.17

Area of garden = Area of rectangular section + semicircular section = 432 + 127.17

Area of garden = 559.17 ft^2