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A carpet of size 3m × 7m has a border of Red colour. The width of border is 25 cm. The inner part of carpet has blue colour. The area of blue colour is. |
21 m2 14.25 m2 18.5625 m2 16.25 m2 |
16.25 m2 |
To calculate the area of the blue color, we need to subtract the area of the red border from the total area of the carpet. The total area of the carpet is given by: Area of the carpet = Length × Width = 3m × 7m = 21m² The width of the border is 25 cm, which is equivalent to 0.25 m. To calculate the area of the border, we subtract the area of the inner rectangle from the area of the outer rectangle. The area of the inner rectangle (blue color) is given by: Area of the inner rectangle = (Length - 2 × Border Width) × (Width - 2 × Border Width) = (3m - 2 × 0.25m) × (7m - 2 × 0.25m) = (3m - 0.5m) × (7m - 0.5m) = 2.5m × 6.5m = 16.25m² Therefore, the area of the blue color in the carpet is 16.25 square meters. Area of blue part = 6.5 × 2.5 = 16.25 m2 |
