Extending Area and Perimeter Review Problems (Chap. 9 Sections 1 to 4)
Find each measurement.
1. the base b1 of a trapezoid in which A = 161.5 cm2 ,
h = 17 cm, and b2 = 13 cm.
2. the area of an isosceles trapezoid with a perimeter of 40 ft.
and bases of 11 ft and 19 ft.
3. the area of a square with a diagonal of
2
m.
3
11. the circumference and area of ⊙A with diameter
Give your answers in terms of π.
10

in.
12. the area of a circle with a circumference of 30π m.
13. the area of a regular nonagon with a side length of 14 m.
Round to the nearest tenth.
14. the exact area an equilateral triangle with a side length of 50 cm.
15. the area of regular decagon with an apothem of 6 mm and side length of 12 mm.
16. Find the shaded area. Round to the nearest tenth, if necessary.
A)
B)
17. The diagram shows a plan for a pond. Use a composite figure to estimate the pond’s area. The grid
has squares with side lengths of 1 yd.
18. Draw and classify the polygon with vertices A(1, 5), B(2, 3), C(-2, 1) and D(-3,3). Find the area and
perimeter of the polygon.
19. Find the area of each polygon given the vertices.
20. The figure below is composed of four congruent trapezoids arranged around a shaded square. What
is the area of the shaded square?
21. In the figure, a rectangle is inscribed in a circle. Which best represents the shaded area to the nearest
tenth of a square meter.
(A) 3.4 m2
22.
23.
(B) 7.6 m2
(C) 12.6 m2
(D) 17.2 m2
Answers
1. 6 cm.
2. 45 ft2
2 2
3.
m
9
4. 81 in2
5. 22 cm
6. 3x2 in
7. 8 ft
8. 252 yd2
9. 42 xy4
10. 288 m2
11. C = 10 in, A = 25/π in2
12. 225 π m2
13. 1211.6 m2
14. 625 3 cm2
15. 360 mm2
16. A) 70.9 cm2
B) 290 in2
2
17. 8 yd
18. Rectangle (both pairs of opposite sides are parallel and one pair of consecutive sides is
perpendicular) P = 6 5 units A = 10 units2
19. A) 20 units2
B) 38 units2
2
20. A = 36 units
21. B
22. B
23. F