Subjects geometry

Blue Area 35961A

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1. **State the problem:** We have a rectangular wall divided into three sections: red, green, and blue. The green section is a square with side length 14 feet. The red section is 14 feet wide and 8 feet tall. We need to find the area of the blue section. 2. **Understand the layout:** - The green section is a square of side 14 ft, so its height and width are both 14 ft. - The red section is 14 ft wide and 8 ft tall. - The blue section is below the red section, sharing the same width (14 ft) and the remaining height of the wall. 3. **Calculate the total height of the wall:** Since the green section is a square with height 14 ft, the total height of the wall is 14 ft. 4. **Calculate the height of the blue section:** The red section height is 8 ft, so the blue section height is the remaining height: $$\text{Height}_{blue} = 14 - 8 = 6 \text{ feet}$$ 5. **Calculate the area of the blue section:** The blue section width is the same as the red section width, 14 ft. Area formula for a rectangle: $$\text{Area} = \text{width} \times \text{height}$$ So, $$\text{Area}_{blue} = 14 \times 6 = 84 \text{ square feet}$$ 6. **Final answer:** The area of the blue section is **84 square feet**.