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TGTET Paper 1 Exam 23 Jul 2017 Paper
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Question : 114 of 150
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The area of rectangular plot is 1875 sq. m If its length is 3 times its breadth, then the perimeter of plot is (in meters)
Solution:
Concept:Understanding the relationship between area, length, breadth, and perimeter of a rectangle.Explanation:We are given the area of a rectangular plot and a relationship between its length and breadth. We need to find its perimeter.1. Let the breadth of the rectangular plot be '' meters.2. We are told that the length '' is 3 times its breadth, so meters.3. The area of a rectangle is given by the formula: Area = Length × Breadth.4. We know the area is 1875 sq. m, so we can write the equation: .5. Substitute into the area equation: .6. This simplifies to .7. Now, solve for : .8. Take the square root to find the breadth: meters.9. Now, calculate the length: meters.10. The perimeter of a rectangle is given by the formula: Perimeter = 2 × (Length + Breadth).11. Substitute the values of length and breadth: Perimeter = .12. Calculate the sum inside the parenthesis: Perimeter = .13. Finally, calculate the perimeter: Perimeter = meters.Answer:The perimeter of the plot is 200 meters.The correct option is A.
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