In order to prepare for the test on Chapter 11, you
need to understand and be able to work problems
involving the following topics:
I. PERIMETER AND CIRCUMFERENCE:
A. Can you find the perimeter of a polygon?
Ex 1. Find the perimeter of a square whose sides
are each 
inches long.
Ex 2. Find the perimeter of a triangle whose sides
are 
inches,
inches, and
inches.
Ex 3. Find the perimeter of a rectangle that is 2.8
cm long and 2.1 cm wide.
Ex 4. Find the perimeter of this figure.
B. Can you find the circumference of a circle , given
the radius or diameter. Can you find
the perimeter of a figure whose border contains part of a circle ?
Ex 5. a] What does the symbol π represent? State
fraction and decimal approximations for π.
b] What is the formula for the circumference of a circle of radius r?
Ex 6. If the diameter of a circle is 21 inches, use
the approximation π = 22/7 to find the
circumference of the circle .
Ex 7. If the radius of a circle is 2.50 meters,
find the circumference of the circle, accurate
to one decimal place .
Ex 8. Find the perimeter of the figure below – a
semicircle anchored to 3 sides of a rectangle.
Round off your answer to one decimal place .
II. AREA: Can you compute the areas of circles ,
rectangles, triangles and parallelograms given
a ruler , or appropriate dimensions?
A. Can you compute the areas of rectangles, triangles
and parallelograms?
Ex 9. Find the area of a square which is 6½ inches
on each side.
Ex 10. Find the area of this parallelogram. The
dotted line is perpendicular to the base.
Ex 11. What is the formula for the area of a
triangle with base “b” and height “h”?
Ex 12. Find the area of the triangle with sides 3
m, 4 m, and 5 m shown in Ex10 above.
Ex 13. Find the area of this trapezoid. The dotted
lines are perpendicular to the bases.
B. Can you find the area of a circle , given the radius
or diameter. Can you find the area of
a figure whose border contains part of a circle ?
Ex 14. What is the formula for the area of a circle
of radius r? Use the approximation π =22/7
to find the area of a circle whose radius is 7 cm.
Ex 15. Find the area of a circle whose diameter is
9.8 cm, accurate to 1 decimal place.
Ex 16. Find the area of the shaded region below,
accurate to one decimal place.
Ex 17. Find the area of the figure below – a
semicircle anchored to 3 sides of a rectangle.
Use a ruler to make any necessary measurements to the nearest 0.1 cm. Round off
the answer to one decimal place .
III. VOLUME. Can you compute the volume of a
rectangular prism, or cylinder, given
appropriate measurements?
Ex 18. Find the volume of a rectangular box that is
8ft. long, 6 ft. wide, and 5 ft. high.
Ex 19. Find the volume of the rectangular prism
shown below.
Ex 20. Find the volume of the rectangular cylinder
shown below, accurate to one decimal place.
-ANSWERS
