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The length of a plot is four times its breath. A playground measuring 900 square meters occupies one fourth of the total area of a plot. What is the length of the plot in meter.?
- a)150
- b)130
- c)160
- d)140
- e)120
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
The length of a plot is four times its breath. A playground measuring ...
Area of the plot = (4 x 900) m²
= 3600 m²
Breadth = y meter
Length = 4y meter
Now area = 4y x y = 3600 m²
⇒ y² = 900 m²
⇒ y = 30 m
∴ Length of plot = 4y =120 m
= 3600 m²
Breadth = y meter
Length = 4y meter
Now area = 4y x y = 3600 m²
⇒ y² = 900 m²
⇒ y = 30 m
∴ Length of plot = 4y =120 m
Most Upvoted Answer
The length of a plot is four times its breath. A playground measuring ...
Given:
Length of the plot = 4 * breadth
Area of the plot = length * breadth
Area of the playground = 900 sq. meters
Area of the playground = (1/4) * Area of the plot
To find:
Length of the plot in meters
Solution:
Let's assume the breadth of the plot as "x" meters.
Length of the plot = 4 * x
Area of the plot = 4x * x = 4x^2
According to the given information,
(1/4) * Area of the plot = 900
4x^2/4 = 900
x^2 = 900
Taking the square root on both sides,
x = √900
x = 30
Therefore, the breadth of the plot is 30 meters.
Length of the plot = 4 * 30 = 120 meters
Hence, the correct answer is option E) 120.
Length of the plot = 4 * breadth
Area of the plot = length * breadth
Area of the playground = 900 sq. meters
Area of the playground = (1/4) * Area of the plot
To find:
Length of the plot in meters
Solution:
Let's assume the breadth of the plot as "x" meters.
Length of the plot = 4 * x
Area of the plot = 4x * x = 4x^2
According to the given information,
(1/4) * Area of the plot = 900
4x^2/4 = 900
x^2 = 900
Taking the square root on both sides,
x = √900
x = 30
Therefore, the breadth of the plot is 30 meters.
Length of the plot = 4 * 30 = 120 meters
Hence, the correct answer is option E) 120.
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The length of a plot is four times its breath. A playground measuring 900 square meters occupies one fourth of the total area of a plot. What is the length of the plot in meter.?a)150b)130c)160d)140e)120Correct answer is option 'E'. Can you explain this answer?
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