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The length of a park is four times of its breadth. A playground whose area is 1600 m² covers 1/4th part of the park. The length of the park is?
- a)108 m
- b)140 m
- c)120 m
- d)160 m
- e)180 m
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The length of a park is four times of its breadth. A playground whose ...
l = 4b
Area of the park = 4 * 1600 = 6400m²
l * b = 6400
l * l/4 = 6400
l² = 6400 * 4; l = 80 * 2 = 160 m
Area of the park = 4 * 1600 = 6400m²
l * b = 6400
l * l/4 = 6400
l² = 6400 * 4; l = 80 * 2 = 160 m
Most Upvoted Answer
The length of a park is four times of its breadth. A playground whose ...
The area of a rectangle is given by the formula A = length * breadth.
Let's assume the breadth of the park is x meters.
According to the problem, the length of the park is four times its breadth, so the length is 4x meters.
The area of the park is given as 1600 square meters, so we can write the equation:
1600 = 4x * x
Simplifying the equation:
1600 = 4x^2
Dividing both sides by 4:
400 = x^2
Taking the square root of both sides:
x = ±20
Since the breadth cannot be negative, we take the positive value:
x = 20 meters
Therefore, the breadth of the park is 20 meters and the length is 4 times the breadth, which is 4*20 = 80 meters.
Let's assume the breadth of the park is x meters.
According to the problem, the length of the park is four times its breadth, so the length is 4x meters.
The area of the park is given as 1600 square meters, so we can write the equation:
1600 = 4x * x
Simplifying the equation:
1600 = 4x^2
Dividing both sides by 4:
400 = x^2
Taking the square root of both sides:
x = ±20
Since the breadth cannot be negative, we take the positive value:
x = 20 meters
Therefore, the breadth of the park is 20 meters and the length is 4 times the breadth, which is 4*20 = 80 meters.
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The length of a park is four times of its breadth. A playground whose area is 1600 m² covers 1/4th part of the park. The length of the park is?a)108 mb)140 mc)120 md)160 me)180 mCorrect answer is option 'D'. Can you explain this answer?
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