Question

a Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?​

Answer 1

First, let's find the area of the rectangle.
We know that the area of a rectangle is the length times width, or
20
⋅
32
in this example:
20
⋅
32
=
640

So the area of the rectangle is
640
f
t
2
.
You may not know the area of a semicircle, but that's fine
−
we know the area of a circle, or
π
r
2
.
Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by
2
:
So the area of a semicircle is
π
r
2
2
.
The question asks for
π
to just be
3.14
, so instead the equation is
A
=
3.14
r
2
2

The picture gives the diameter of the circle.
To find the radius, or
r
, we divide the diameter by
2
:
20
2
=
10

Now we can solve for the area of the semicircle:
3.14
(
10
)
2
2

3.14
(
100
)
2

314
2

157
f
t
2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:
640
+
157
=
797
f
t
2