A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 25ft long and 16ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.)

so hmm if you see the picture below, notice, the radius is just half the diameter of the semi-circle, the diameter is 16, so the radius is 8

the perimeter of the figure is how many units will be required for the fence, since the fence will be enclosing the garden

so... 25 + 16 + 25 + [ circumference of the semi-circle ]

recall the circumference of a circle is 2 π r, r = radius

so the circumference of a semi-circle, will be half that, or just πr