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The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre?
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The sides of a rectangular plot are in the ratio 4:3 if its area is 20...
Given: The sides of a rectangular plot are in the ratio 4:3 and its area is 2028 sq m.
To find: The cost of fencing at ₹3 per metre.
Explanation:
Step 1: Determine the sides of the rectangle
Let the sides of the rectangle be 4x and 3x (since the sides are in the ratio 4:3).
According to the given information, the area of the rectangle is 2028 sq m.
Therefore, we can write the equation as: 4x * 3x = 2028.
Step 2: Solve the equation
Multiplying the terms, we get: 12x^2 = 2028.
Dividing both sides by 12, we get: x^2 = 169.
Taking the square root on both sides, we get: x = 13.
Therefore, the sides of the rectangle are 4x = 4 * 13 = 52 m and 3x = 3 * 13 = 39 m.
Step 3: Calculate the perimeter of the rectangle
The perimeter of a rectangle is given by the formula: P = 2l + 2w, where l and w are the length and width of the rectangle.
Substituting the values, we get: P = 2 * 52 + 2 * 39 = 104 + 78 = 182 m.
Step 4: Calculate the cost of fencing
The cost of fencing is given as ₹3 per meter.
Therefore, the total cost of fencing the rectangular plot is: 182 * 3 = ₹546.
Answer: The cost of fencing the rectangular plot at ₹3 per meter is ₹546.
To find: The cost of fencing at ₹3 per metre.
Explanation:
Step 1: Determine the sides of the rectangle
Let the sides of the rectangle be 4x and 3x (since the sides are in the ratio 4:3).
According to the given information, the area of the rectangle is 2028 sq m.
Therefore, we can write the equation as: 4x * 3x = 2028.
Step 2: Solve the equation
Multiplying the terms, we get: 12x^2 = 2028.
Dividing both sides by 12, we get: x^2 = 169.
Taking the square root on both sides, we get: x = 13.
Therefore, the sides of the rectangle are 4x = 4 * 13 = 52 m and 3x = 3 * 13 = 39 m.
Step 3: Calculate the perimeter of the rectangle
The perimeter of a rectangle is given by the formula: P = 2l + 2w, where l and w are the length and width of the rectangle.
Substituting the values, we get: P = 2 * 52 + 2 * 39 = 104 + 78 = 182 m.
Step 4: Calculate the cost of fencing
The cost of fencing is given as ₹3 per meter.
Therefore, the total cost of fencing the rectangular plot is: 182 * 3 = ₹546.
Answer: The cost of fencing the rectangular plot at ₹3 per meter is ₹546.
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The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre?
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The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre?.
The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a rectangular plot are in the ratio 4:3 if its area is 2028 sq m, find the cost of fencing at ₹3 per metre?.
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