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Find the areas of the shaded portions of the quilt patterns shown below if one side of each square is 6 cm. b. С. d. a. 6 cm { 6 ст 6 cm 6 cm Card trick Linoleum Churn dash Friendship Star a. For figure (a), the area of the shaded portion is (Type an integer or a simplified fraction.) b. For figure (b), the area of the shaded portion is (Type an integer or a simplified fraction.) c. For figure (c), the area of the shaded portion is (Type an integer or a simplified fraction.) d. For figure (d), the area of the shaded portion is (Type an integer or a simplified fraction )

Find the areas of the shaded portions of the quilt patterns shown below if one side of each square is 6 cm. b. С. d. a. 6 cm { 6 ст 6 cm 6 cm Card trick Linoleum Churn dash Friendship Star a. For figure (a), the area of the shaded portion is (Type an integer or a simplified fraction.) b. For figure (b), the area of the shaded portion is (Type an integer or a simplified fraction.) c. For figure (c), the area of the shaded portion is (Type an integer or a simplified fraction.) d. For figure (d), the area of the shaded portion is (Type an integer or a simplified fraction )

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Finding the Areas of Shaded Portions in Quilt Patterns Below are quilt patterns with their shaded portions. Each side of the squares in these patterns is given as 6 cm. Your task is to calculate the area of the shaded regions. #### Quilt Patterns: 1. **Card Trick (Pattern a.)** - Dimensions: 6 cm x 6 cm - Description: The pattern consists of overlapping triangles and shapes creating a card trick visual effect. 2. **Linoleum (Pattern b.)** - Dimensions: 6 cm x 6 cm - Description: This pattern features alternating colored squares, forming a linoleum-like appearance. 3. **Churn Dash (Pattern c.)** - Dimensions: 6 cm x 6 cm - Description: This pattern consists of a central square surrounded by rectangular and triangular forms. 4. **Friendship Star (Pattern d.)** - Dimensions: 6 cm x 6 cm - Description: The pattern shaped like a star inscribed within a square. #### Problem: Calculate the area of the shaded portions for each of the quilt patterns (a to d). - **Figure (a):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (b):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (c):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (d):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) #### Instructions: 1. Review each quilt pattern carefully. 2. Consider the entire area of the square, which is \( 6 \text{ cm} \times 6 \text{ cm} \). 3. Analyze the shaded areas within the pattern. 4. Calculate the area of the shaded regions and provide your answer in the provided fields. Happy learning!
Transcribed Image Text:### Finding the Areas of Shaded Portions in Quilt Patterns Below are quilt patterns with their shaded portions. Each side of the squares in these patterns is given as 6 cm. Your task is to calculate the area of the shaded regions. #### Quilt Patterns: 1. **Card Trick (Pattern a.)** - Dimensions: 6 cm x 6 cm - Description: The pattern consists of overlapping triangles and shapes creating a card trick visual effect. 2. **Linoleum (Pattern b.)** - Dimensions: 6 cm x 6 cm - Description: This pattern features alternating colored squares, forming a linoleum-like appearance. 3. **Churn Dash (Pattern c.)** - Dimensions: 6 cm x 6 cm - Description: This pattern consists of a central square surrounded by rectangular and triangular forms. 4. **Friendship Star (Pattern d.)** - Dimensions: 6 cm x 6 cm - Description: The pattern shaped like a star inscribed within a square. #### Problem: Calculate the area of the shaded portions for each of the quilt patterns (a to d). - **Figure (a):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (b):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (c):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) - **Figure (d):** - The area of the shaded portion is \( \_\_\_\_ \). (Type an integer or a simplified fraction.) #### Instructions: 1. Review each quilt pattern carefully. 2. Consider the entire area of the square, which is \( 6 \text{ cm} \times 6 \text{ cm} \). 3. Analyze the shaded areas within the pattern. 4. Calculate the area of the shaded regions and provide your answer in the provided fields. Happy learning!
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