Pre-AP Geometry
Review 5-1: Perimeter and Area
1. Find the perimeter and area of the
parallelogram.
8. Find the area of a regular octagon with a side
length of 22 in. Round your answer to the
nearest tenth.
a. Central Angle = ________
b. Apothem = ________
c. Perimeter = ________
2. Find the area of the triangle.
d. Area = ________
4 in
9. A regular hexagon has a side length of 10.
Find the exact area. (Leave in simplest radical
form.)
36 in
3. The area of a rectangle is 420 cm2 and the
height is 35 cm. Find the perimeter of the
rectangle.
4. Find the area of an equilateral triangle with a
side length of 16 in. Leave your answer in
simplest radical form.
5. Find the circumference
and area of the circle.
Leave your answers in
terms of .
10. Describe the effect on the area on each of the
following figures, given the following
changes:
a. The circumference of a circle is doubled.
b. The dimensions of a rhombus are halved.
5 in
12 in
6. Find the area of the shaded region, in terms
of v.
c. The perimeter of a polygon is multiplied
3
by a scale factor of .
5
11. Debbie’s swimming pool is 216 ft 2 . Her
friend Savannah wants to build a swimming
pool with dimensions that are 3 times larger.
What will be the area of Savannah’s pool?
12. The perimeters of two similar trapezoids are
14 ft. and 21ft.
a. Determine the scale factor.
7. One side of a parallelogram is two less than
three times the length of the other side. If the
perimeter of the parallelogram is 212 ft., find
the length of each side of the parallelogram.
b. If the area of the larger trapezoid is 612 ft 2 ,
find the area of the smaller trapezoid.
13. Find the area of the composite figure.
17. In the carnival target game below, find the
probability of throwing a dart and hitting the
shaded region.
14. Ralph wants to put a fence around his
rectangular garden. His garden measures 53 feet
by 55 feet. The garden has a path around it that
is 3 feet wide. How much fencing material does
Ralph need to enclose the garden and path?
18. If an arrow is shot at the archery target below,
what is the probability that it will land in the
circular area?
15. Find the area of the figure. Round to the
nearest tenth, if necessary
y
T (–1, 8)
S (–3, 5)
U (3, 5)
19. Franklin wants to re–sod his backyard.
R (–3, 0)
V (4, 0)
O
x
16. What is the area of the unshaded part of the
rectangle?
a. Determine the amount of sod he would need
for his lawn.
b. Sod is sold is 24 in. by 24 in squares. How
many squares of sod will he need to cover
his lawn?
c. Each square of sod is sold for $5.96. How
much will it cost to sod his lawn?