Name _____________________________________
Area Chapter Review
Lessons A-K
Solve each problem below.
1. Square, P=64 ft;
2. Square, A=64 ft2;
A= _________
5. Parallelogram
h=____________
8. A = 24 sq in
P = ______________
P= _________
3. Rectangle, P=64 ft;
4. A=64 ft2;
A= _________
6. A=42 sq in
h=____________
9. A = 16𝜋 sq in
C = ______________
P=_________
7. A= 96 sq in
h=____________
10. C = 16𝜋 in
A = ______________
11. Find the length of each side of a regular hexagon that has an area of 180 sq cm and an apothem with a
length of 15 cm.
Find the area of each irregular figure below. Use 3.14 for 𝝅 when necessary.
12. A=________________
13. A=________________
Find the surface area of each object. Unless told otherwise, quadrilaterals are rectangles. All given
measurements are in centimeters. Leave answers in terms of 𝝅 when necessary.
14.
15.
18
Find the surface area of each object. Leave answers in terms of 𝝅 when necessary.
16.
17.
Find the area of the shaded figures below. Leave answers in terms of 𝝅 unless told otherwise.
18. A=________________
21. A=________________
19. A=________________
20. R=8’, r=2’; A=________________
22. A=________________
23. You have 800 feet of fencing material to make a pen for livestock. If you make a rectangular pen, what
is the maximum area you can fence in? Show all work.
24. Suppose that you need an area of 5,625 square feet for grazing livestock. What is the minimum
amount of fencing needed for a rectangular pen with this area? Show all work.
25. A circular archery target has 5 scoring zones formed by concentric circles. The colors of the zones are
yellow (A), red (B), blue (C), black (D) and white (E). The radius of the yellow circle is 12.2 cm. The width
of each ring is also 12.2 cm.
a. If an arrow hits the target at a random point, what is the
probability that it hits the center yellow zone (A)? Use 3.14 for 𝜋.
Give your answer as a percentage.
A
B
C
D
E
b. If an arrow hits the target at a random point, what is the probability that it hits the center red
zone (B)? Use 3.14 for 𝜋. Give your answer as a percentage.
26. If each dimension (apothem and side lengths) of a regular octagon is tripled, and the area of the
original regular octagon is 484 sq ft, find the area of the larger octagon.
27. If the areas of two regular hexagons are 93.6 sq cm and 2,340 sq cm. How many times larger is the
perimeter of the larger one compared to the smaller one?