Name:
Sections 7.3, 8.1, 8.2 Exercises
Class:
1. and
If the area of have the same length of base and the same length of altitude. is 25 , find the area of .
2. In regular octagon ABCDEFGH , AB = 6. Find the perimeter of trapezoid ABCH .
3. . If AB = 4, XY = 10, and the area of is 7.8
4. For two similar triangle, the ratio of two corresponding sides is : = 1:3.
Find the ratio of their areas : .
, find the area of
5. How is the apothem of a regular polygon related to the side of the polygon to which it is drawn?
6. If the area of quadrilateral ABCD is 27 and the area of of pentagon ABXCD .
is 11 , find the area
Date:
7. In , and . If AB = 16, BC = 12, and BH = 14, find the length of altitude to side
8. An equilateral triangle has an inscribed circle with the length of radius 3 inches. Find the exact length of each side of the equilateral triangle..
9. Given that 1 foot = 12 inches, what is the number of square inches in 1 square foot?
.
10. For what type of regular polygon does the apothem have a length equal to one-half the length of a side of the polygon?
Copyright Cengage Learning. Powered by Cognero.
Page 1

Name:
Sections 7.3, 8.1, 8.2 Exercises
Class:
1. Find the length of base in an isosceles triangle with perimeter 25 inches and length of leg
8 inches.
Date:
2. For the right triangle with sides of lengths 8, 15, and 17, find the length of the radius of the inscribed circle.
3. . If AB = 4, XY = 10, and the area of is 7.8 , find the area of
4. In trapezoid RSTV , . If SR = TV = 6 cm, ST = 4 cm, and m = 60
°
, find the area of RSTV .
5. For the triangle with sides of lengths a , b , and c , find an expression for the semiperimeter s of the triangle.
7. Find the perimeter of rhombus RSTV in which the lengths of diagonals are RT = 24 in and SV = 10 in.
8. What expression represents the exact circumference of a circle with radius 6 inches?
9. The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and BD = 25 inches, find the area of ABCD .
10. In , . If MQ = 10, RP = 4, and MR = 8, find the area of .
Copyright Cengage Learning. Powered by Cognero.
Page 2

Name:
Sections 7.3, 8.1, 8.2 Exercises
Answer Key
1. 12.5
2.
3. 48.75
4. 1:9
5. perpendicular-bisector
6. 38
7. or or 10.5
8. inches
9. 144
10. square
Class: Date:
Copyright Cengage Learning. Powered by Cognero.
Page 3