Lesson 8.1 • Areas of Rectangles and Parallelograms
Name Period Date
1. Find the area of the shaded region. 2. Find the area of the shaded region. 17 cm 9 cm
2 cm 5 cm 8 cm 1.5 cm 4 cm 4 cm 13 cm 2 cm
3. Rectangle ABCD has area 2684 m2 and width 44 m. Find its length. 4. Find x. 5. The rectangle and the square have equal 15 cm area. The rectangle is 12 ft by 21 ft 4 in. What is the perimeter of the entire hexagon x in feet? 26 cm 39 cm
6. Draw a parallelogram with area 85 cm2 and an angle with measure 40°. Is your parallelogram unique? If not, draw a different one. 7. Find the area of PQRS. 8. Find the area of ABCDEF. y y S(–4, 5) (15, 7)E D(21, 7) (4, 2) x F R(7, –1) C(10, 2) P(–4, –3) x
B(10, –5) Q(7, –9) A(4, –5)
9. An acre is equal to 43,560 ft2. A 4-acre rectangular pasture has a 250-foot side that is 40 feet from the nearest road. To the nearest foot, what is the distance from the road to the far fence? 10. A section of land is a square piece of land 1 mile on a side. How many acres are in a section? (1 mile 5280 feet) 11. Dana buys a piece of carpet that measures 20 square yards. Will she be able to completely cover a rectangular floor that measures 12 ft 6 in. by 16 ft 6 in.? Explain why or why not.
Discovering Geometry Practice Your Skills CHAPTER 8 49 ©2003 Key Curriculum Press Lesson 8.2 • Areas of Triangles, Trapezoids, and Kites
Name Period Date
1. Find the area of the shaded region. 2. ABCD is a parallelogram, ABDE is a kite, 12 cm AD 18 cm, and BE 10 cm. Find the area of ABCDE. 4 cm B C 20 cm
A D
E 3. Area 126 in.2. b _____. 4. AB 6 cm, AC 8 cm, and BC 10 cm. Find AD. b B 9 in. D
16 in. A C 5. A concave kite (dart) has diagonals measuring 13 cm and 19 cm. What is its area? 6. The shaded area is what fraction of the 7. Explain why the area of this triangle large parallelogram? cannot be greater than 27.
B
6 9
A 10 C 8. A midsegment of a triangle divides the triangle into a triangle and a trapezoid. If the original triangle has area 64 in.2, what is the area of the trapezoid?
9. TP is tangent to circles M and N. TP 16 cm. The radius of T N is 7 cm and the radius of M is 4 cm. Find the area of NMPT. P
NM
10. Find the area of TRI. 11. Find the area of HEXAGN.
y y I (12, 12) E (4, 6) X (7, 4) (0, 6) R (–1, 3) H
x x T (6, 0) (0, –1) N G (3, –2) A (7, –2)
50 CHAPTER 8 Discovering Geometry Practice Your Skills ©2003 Key Curriculum Press Lesson 8.3 • Area Problems
Name Period Date