A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 31ft long and 22ft 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.)

This is a perimeter question.
To find the perimeter of a circle you must use π x d, the diameter of this circle is 22.
22 x 3.14 = 69.08, but this must be divided by two as it is a semicircle.
69.08/2 = 34.54, so 34.54 is the perimeter of your semicircle now you must add all the lengths and widths together to get your perimeter.
22+31+31+34.54=118.54
This means the gardener will need 118.54ft of fence to go around the garden

Answer Link

psm22415 psm22415 · Answer 2 · 2022-02-01T01:09:51-05:00

There are 118.54 feet of the fence are required.

Given

A rose garden is designed by joining a rectangle and a semicircle, as shown below.

The rectangle is 31ft long and 22ft wide.

How can calculate the fence of the semicircle?

The fence is required calculated by adding the length and width of the rectangle and the radius of the semicircle.

The radius of the semicircle is given by;

\(\rm Radius = \dfrac{Diameter}{2}\\\\Radius = \dfrac{22}{2}\\\\Radius = 11\)

And the fence of the garden of the semicircle is;

\(= 11\times\pi \\\\= 11 \times 3.14\\\\= 34.54\)

Therefore,

The fence required for garden is given by = length + length + width + fence of semicircle.

The fence required for garden = 22+31+31+34.54

The fence required for garden = 118.54 feet

Hence, there are 118.54 feet of the fence are required.

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