Geo Chapter 9 Review – Area and Perimeter Name: Per: Vocab

Geo Chapter 9 Review – Area and Perimeter
Name:
Per:
Vocab: apothem, center of a circle, central angle of a regular polygon, circle, composite figure,
geometric probability
Triangles and Quadrilaterals.
Use algebra to find each measurement.
1. …the perimeter of a rectangle in which
b = 4 cm and A = 28 cm2
Circles and Regular Polygons. Find each
measurement. Round to the nearest tenth.
6. …the circumference of ⨀G
2. ….the height of a triangle in which
A = 6 x3y in2 and b = 4xy in.
7. …the diameter of ⨀K in which
A = 64 x2π m2
3. …the height of the trapezoid, in which
A = 48xy ft 2
8. …the area of an equilateral triangle with
side length 4 in.
4. ….the area of a rhombus in which
d1 = 21 yards and d2 = 24 yards
9. …the area of a regular octagon with side
length 8 cm.
5. …. the diagonal d2 of the rhombus, in
which A = 630 x3y7 in2
10. …the area of the square
Composite Figures
Find the area inside the composite shapes.
Round to the nearest tenth.
15. Describe two methods of estimating the
area of an irregular shape. Choose one
method and calculate the area of the shape
below.
11.
Method 1:
Method 2:
12
Geometric Probability
16. Find the probability that a point chosen
randomly inside the 40 m by 24 m rectangle
is in each shape. Round to the nearest
hundredth.
a. the regular hexagon.
13. Draw and classify the polygon with
vertices R(2, 4), S(3, 1), T(2, -2), and U(1, 1).
Find the perimeter and area of the polygon.
b. the triangle.
c. the circle or the triangle.
d. inside the rectangle but not inside the
hexagon, triangle, or circle.