TGTET Paper 1 Exam 23 Jul 2017 Paper

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 '$b$' meters.2. We are told that the length '$l$' is 3 times its breadth, so $l = 3b$ 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: $1875 = l \times b$.5. Substitute $l = 3b$ into the area equation: $1875 = (3b) \times b$.6. This simplifies to $1875 = 3b^2$.7. Now, solve for $b^2$: $b^2 = \frac{1875}{3} = 625$.8. Take the square root to find the breadth: $b = \sqrt{625} = 25$ meters.9. Now, calculate the length: $l = 3b = 3 \times 25 = 75$ 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 = $2 \times (75 + 25)$.12. Calculate the sum inside the parenthesis: Perimeter = $2 \times (100)$.13. Finally, calculate the perimeter: Perimeter = $200$ meters.Answer:The perimeter of the plot is 200 meters.The correct option is A.