Class 8 Exam > Class 8 Questions > A rectangular field is twice as long as it is... Start Learning for Free
A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?
- a)110 m
- b)180 m
- c)209 m
- d)240 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A rectangular field is twice as long as it is wide. If its area is 242...
Understanding the Problem
To solve the problem, we need to determine the dimensions of a rectangular field where the length is twice the width and the area is given as 2420 m².
Step 1: Define Variables
- Let the width of the rectangular field be W meters.
- Then, the length L will be 2W meters (since it is twice as long as it is wide).
Step 2: Area Calculation
- The area A of a rectangle is calculated using the formula:
A = Length × Width
- Substituting the values, we have:
2420 = 2W × W
- This simplifies to:
2420 = 2W²
Step 3: Solve for Width
- Rearranging the equation gives:
W² = 2420 / 2
- Simplifying further:
W² = 1210
- Taking the square root of both sides, we find:
W = √1210 ≈ 34.8 m (rounded to one decimal place)
Step 4: Calculate Length
- Using the width to find the length:
L = 2W = 2 × 34.8 ≈ 69.6 m
Step 5: Calculate the Perimeter
- The perimeter P of a rectangle is calculated using the formula:
P = 2(Length + Width)
- Substituting the values we found:
P = 2(69.6 + 34.8) = 2 × 104.4 = 208.8 m
Since we round to the nearest whole number, the perimeter is approximately 209 m.
Conclusion
The correct answer for the perimeter of the rectangular field is option 'C', which is 209 m.
To solve the problem, we need to determine the dimensions of a rectangular field where the length is twice the width and the area is given as 2420 m².
Step 1: Define Variables
- Let the width of the rectangular field be W meters.
- Then, the length L will be 2W meters (since it is twice as long as it is wide).
Step 2: Area Calculation
- The area A of a rectangle is calculated using the formula:
A = Length × Width
- Substituting the values, we have:
2420 = 2W × W
- This simplifies to:
2420 = 2W²
Step 3: Solve for Width
- Rearranging the equation gives:
W² = 2420 / 2
- Simplifying further:
W² = 1210
- Taking the square root of both sides, we find:
W = √1210 ≈ 34.8 m (rounded to one decimal place)
Step 4: Calculate Length
- Using the width to find the length:
L = 2W = 2 × 34.8 ≈ 69.6 m
Step 5: Calculate the Perimeter
- The perimeter P of a rectangle is calculated using the formula:
P = 2(Length + Width)
- Substituting the values we found:
P = 2(69.6 + 34.8) = 2 × 104.4 = 208.8 m
Since we round to the nearest whole number, the perimeter is approximately 209 m.
Conclusion
The correct answer for the perimeter of the rectangular field is option 'C', which is 209 m.
Free Test
FREE
| Start Free Test |
Community Answer
A rectangular field is twice as long as it is wide. If its area is 242...
The correct answer is Option C - 209 m
Let the width be w and the length be 2w.
The area is given by length × width = 2w × w = 2w2, and this equals 2420; so 2w2 = 2420.
Thus w2 = 1210, so w = √1210 (take the positive root for a length).
The perimeter is 2(l + w) = 2(2w + w) = 6w, so P = 6√1210.
Numerically, √1210 ≈ 34.785, hence P ≈ 6 × 34.785 = 208.71 m ≈ 209 m
 | Explore Courses for Class 8 exam |  |
Top Courses for Class 8View all
Top Courses for Class 8
Question Description
A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer?.
A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A rectangular field is twice as long as it is wide. If its area is 2420 m2, what is its perimeter?a)110 mb)180 mc)209 md)240 mCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 8 tests.
| Explore Courses for Class 8 exam | |
Top Courses for Class 8
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
