Test Index

TGTET Paper 1 Exam 23 Jul 2017 Paper

© examsnet.com
Question : 114 of 150
Marks: +1, -0
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 'bb' meters.
2. We are told that the length 'll' is 3 times its breadth, so l=3bl = 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×b1875 = l \times b.
5. Substitute l=3bl = 3b into the area equation: 1875=(3b)×b1875 = (3b) \times b.
6. This simplifies to 1875=3b21875 = 3b^2.
7. Now, solve for b2b^2: b2=18753=625b^2 = \frac{1875}{3} = 625.
8. Take the square root to find the breadth: b=625=25b = \sqrt{625} = 25 meters.
9. Now, calculate the length: l=3b=3×25=75l = 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×(75+25)2 \times (75 + 25).
12. Calculate the sum inside the parenthesis: Perimeter = 2×(100)2 \times (100).
13. Finally, calculate the perimeter: Perimeter = 200200 meters.
Answer:
The perimeter of the plot is 200 meters.
The correct option is A.
© examsnet.com
Go to Question: