Download Geometry: Chapter 11 Study Guide

Geometry: Chapter 11 Study Guide
Rectangles, Squares, and Triangles
1. Find the area of a rectangle with base 6 2 in
and height 4 2 in.
2. Find the area of a square with side 10 3 cm.
3. Find the area of a triangle with base 18in and
height 3in.
4. Find the area of an equilateral triangle with
perimeter 24ft.
5. Find the area of a rectangle with diagonal 26m
and side 10m.
6. Find the area of a square with diagonal 8ft.
7. Find the area of an isosceles triangle with base
12cm and perimeter 32cm.
8. Find the area of an isosceles right triangle with
hypotenuse 10ft.
9. Find the area of the enclosed region: (all corners
are right angles)
10. Find the area of the shaded region: (all corners
are right angles)
10
5
4
7
1
5
6
9
1
1
3
3
1
1
11. A path 3m wide surrounds a rectangular garden
15m wide and 18m long. What is the area of the
path?
12. The length of a rectangle is 3m more than its
width. If its area is 54m2, find the dimensions of the
rectangle.
Parallelograms and Rhombuses
13. Find the area of a parallelogram with base
4 2 and height 3 6 .
14. Find the area of a rhombus with diagonals of
6m and 4.5m.
15. Find the area of a parallelogram with sides
12m and 8m with an angle of 45 degrees.
16. Find the area of a rhombus with perimeter of
80 and one diagonal of length 32ft.
17. Find the area of a rhombus with perimeter
36m and one angle of 120 degrees.
18. Find the area of the region. (It is a
parallelogram topped with a triangle.):
10
8
45
16
10
Trapezoids
19. Find the area of a trapezoid with bases 5ft and
15ft and height 9ft.
21. Find the area of an isosceles trapezoid with
bases 9 and 19 and legs of 13cm.
20. Find the area of a trapezoid with height 8ft and
median 11ft.
22. Find the area of an isosceles trapezoid with the
shorter base of 7 3 , height of 6, and base angles of
60◦
Regular Polygons
23. Find the area of an equilateral triangle with
apothem 4m.
24. Find the area of a square with radius 8m.
25. Find the area of regular hexagon with perimeter
48ft.
26. Find the area of a regular hexagon with
apothem 9cm.
Circles, Arcs, and Sectors (Leave answers in terms of  )
27. Find the diameter, circumference, and area of a 28. Find the radius, diameter, and circumference of
circle with radius 7cm.
a circle with area 24  ft2.
29. In a circle with diameter 10m, a central angle is
60◦. Find the length of the resulting minor arc and
the area of this sector.
30. Find the area of the shaded region:
6
31. Find the area of the shaded region:
32. Find the area of the shaded region:
30
8
10
Scale Factor, Ratio of Perimeters and Areas
33. The scale factor of two similar polygons is 2:7.
What is the ratio of:
34. The scale factor of two similar polygons is 3:5.
The area of the larger polygon is 75m2. Find the
area of the smaller polygon.
a) their corresponding sides?
b) their perimeters?
c) their areas?
35. The areas of two regular hexagons are 9cm2
and 25cm2. What is the ratio of:
a) their sides?
b) their perimeters?
36. The perimeters of two similar parallelograms
are 4m and 8m. What is the:
a) scale factor?
b) ratio of their areas?