Area. Lesson 6.1 Finding the Area of a Rectangle with Fractional Side Lengths = = 9 20 in.2 The area of the rectangle is 9 square inches.
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1 Nae: Date: Chapter Area Practice 1 Finding the Area of a Rectangle with Fractional Side Lengths Find the area of each rectangle. Exaple A = length width 1. _ 3 in. _ 3 4 _ 3 in. A = = 9 20 in.2 The area of the rectangle is 9 square inches. 20 width The area of the rectangle is square eters. 2. _ 3 ft 4 ft 8 Lesson 6.1 Finding the Area of a Rectangle with Fractional Side Lengths 21
2 Find the area of each shaded rectangle c 6 c
3 Nae: Date:. A 1-eter square plot of land is covered by a rectangular patch of grass that easures 4 7 eter by 2 3 eter. What is the area of the patch of grass? Lesson 6.1 Finding the Area of a Rectangle with Fractional Side Lengths 217
4 6. Find the area of the top of a rectangle bedside table with a length of 3 4 width that is 1 6 yard less than the length. yard and Find the area of each coposite figure. 7. _ 3 c c _ 4 c c 218
5 Nae: Date: 8. _ 2 7 _ 4 9 _ _ 3 _ 4 Lesson 6.1 Finding the Area of a Rectangle with Fractional Side Lengths 219
6 10. _ 6 7 yd 3 yd _ 2 9 _ 2 7 yd yd _ 2 9 _ 2 7 yd yd _ 2 7 yd _ 7 9 yd Find the area of the shaded part. 11. _ 3 in. in. _ 3 in. in. 12. _ 8 _ _
7 Nae: Date: Practice 2 Base and Height of a Triangle Coplete to give both the and the height in each triangle. Exaple A C height B Height: BA Base: AC Height: Base: W height V T U X B Base: Height: A Y Z C 3. T 4. D A C V E S U W B Base: Base: Height: Height: Lesson 6.2 Base and Height of a Triangle 221
8 For each triangle, the is given. Use a drawing triangle to draw the height. Label the height. Exaple height
9 Nae: Date: Practice 3 Finding the Area of a Triangle Find the area of each shaded triangle. Show each step and give your answer using the correct units. Exaple 23 c 1 c Area of triangle c c Area of triangle Area of triangle 72 c ft Area of triangle 4 ft 32 ft Lesson 6.3 Finding the Area of a Triangle 223
10 Find the area of each shaded triangle. Exaple 8 c 4. 9 in. 10 c 6 c 4 in. 12 in. Area c 2 Area. 18 in. Area 2 in. 28 in. 6. c 6 c Area c in. in. 7 in. 1 in. 2 in. 6 in. 20 in. Area Area 224
11 Nae: Date: 1. Four students found the area of the shaded triangle. 4 c 3 c c 4 c These are their findings. Zach: c 2 Preeti: c2 Brian: c2 Jaes: c2 Explain the istakes they have ade. Then write the correct answer. Zach: Preeti: Brian: Jaes: The area of the shaded triangle is: 22
12 2. The area of the shaded triangle is 1 square centieters. Explain why the area of the rectangle is 30 square centieters. 3. ABCD is a rectangle and BE EC. A 4 c D 3 c B 2 c E 2 c C What can you say about the areas of triangles BED and ECD? Explain your answer. 226
13 Nae: Date: Put On Your Thinking Cap! Challenging Practice Solve. Show your work. 1. ABCD is a square of side 10 centieters and BE EC. Find the area of the shaded triangle. 10 c A D B E C 2. ABCD is a rectangle 18 centieters by 8 centieters. AE ED and AF FB. Find the area of the shaded triangle. F A B E 18 c D C 8 c 227
14 3. ABCD is a rectangle of area 48 square inches. The length of CD is 3 ties the length of DF. BC 4 inches. a. Find the length of DF. A E B D F C b. Find the area of the shaded triangle. 4. ABCD is a rectangle 12 centieters by centieters. BE 4 centieters. Find the area of the A shaded region, ABED. 12 c D c B 4 c E C 228
15 Nae: Date:. The side of square ABCD is 8 centieters. AE AF 4 centieters. Find the area of the shaded triangle, CEF. 4 c F A E D B 8 c C 6. The perieter of rectangle ABCD is 26 inches. Its length is 3 ties as long as its width. Find the area of triangle ABC. A D B C 229
16 7. ABCD is a rectangle of area 72 square centieters. The length of AD is 3 ties the length of AE. BF 8 centieters. A E D B F C a. Find the width of the rectangle. b. Find the area of the shaded region, EBFD. 230
17 Nae: Date: Put On Your Thinking Cap! Proble Solving 1. Look at the pattern of these triangles. 16 c 2 c 2 c 4 c 4 c 8 c 8 c What is the area of Triangle in the pattern? Which triangle in the pattern will have an area of 16 c Triangle 1 Triangle 2 Triangle 3 Triangle 4 32,768 square centieters? 231
18 2. ABCD is a square with sides of 20 centieters. AX XB, BY YC, CZ ZD, AW WD. WY and XZ are straight lines. Find the total area of the shaded parts. A W D X Z B Y C 232
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