Math Problem?
A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 29 long and 19 wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.)
can’t see “as shown below”
Can you explain better or give link to diagram?
If the semicircle is on the 29 side:
2(19) + 29 + 29pi/2 = 67 + 14.5pi
This is because the radius is equal to 1/2 the diameter and the perimeter of a semicircle is radius*pi. The 2 19’s come from the rectangle part of the garden and the other 29 comes from the side opposite the semicircle.
If the semicircle is on the 19 side:
2(29) + 19 + 19pi/2 = 77 + 9.5pi
You simply switch the 19 and 29 values.
Picture, value for pi, and units are missing.
Assume semicircle at narrow end of garden, 3.14 and feet
Fence for 3 sides fo rectangular portion is
19 + 29 + 29 = 77
Circumference of circle = 2pi r = pi d
Distance around half of circle of diameter 19 is 19(3.14)/2 = 29.83
Fence = 77 + 29.83 = 106.83 feet
29+19+29+.5*19pi
=
106.83
106.83