Question

A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 28 ft wide.

Find the area of the garden. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer

Answer 1

1287.72
`ft^(2)`

Explanation:

Area of the rectangle is length times width

a = (35)(28) = 980

Area of a circle is
`\pi r^(2)`, but this is half of a circle so we will divide the answer by 2

a =
`(3.14(14^(2)) )/(2)` =
`(3.14 x 196)/(2)` =
`(615.44)/(2)` = 307.72

Add the half circle and the rectangle

980 + 307.72 = 1287.72