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A saree is 5 m long and 1.3 m wide. A bo...

 A saree is 5 m long and 1.3 m wide. A border of width 25 cm is printed along its sides. Find the cost of printing the border at Rs.1 per `10cm^(2)`.

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To solve the problem of finding the cost of printing the border on a saree, we can follow these steps: ### Step 1: Convert the dimensions of the saree to consistent units The saree is given as 5 m long and 1.3 m wide. We need to convert these measurements into centimeters since the border width is given in centimeters. - Length of the saree = 5 m = 5 × 100 cm = 500 cm - Width of the saree = 1.3 m = 1.3 × 100 cm = 130 cm ### Step 2: Calculate the area of the saree The area of the saree can be calculated using the formula for the area of a rectangle (Area = Length × Width). - Area of the saree = Length × Width = 500 cm × 130 cm = 65000 cm² ### Step 3: Determine the dimensions of the inner rectangle (without the border) The border width is 25 cm on each side. Therefore, we need to subtract twice the border width from both the length and the width of the saree to find the dimensions of the inner rectangle. - Length of the inner rectangle = 500 cm - 2 × 25 cm = 500 cm - 50 cm = 450 cm - Width of the inner rectangle = 130 cm - 2 × 25 cm = 130 cm - 50 cm = 80 cm ### Step 4: Calculate the area of the inner rectangle Now, we can calculate the area of the inner rectangle. - Area of the inner rectangle = Length × Width = 450 cm × 80 cm = 36000 cm² ### Step 5: Calculate the area of the border The area of the border can be found by subtracting the area of the inner rectangle from the area of the saree. - Area of the border = Area of the saree - Area of the inner rectangle = 65000 cm² - 36000 cm² = 29000 cm² ### Step 6: Calculate the cost of printing the border The cost of printing is given as Rs. 1 per 10 cm². To find the total cost, we need to determine how many 10 cm² units are in the area of the border. - Number of 10 cm² units in the border area = 29000 cm² ÷ 10 cm² = 2900 - Total cost = Number of units × Cost per unit = 2900 × Rs. 1 = Rs. 2900 ### Final Answer The cost of printing the border on the saree is Rs. 2900. ---
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