The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters?

Q: The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters?

Area of the plot = (3 x 1200) m2 = 3600 m2 Let breadth = y meters Then Length = 4y meters, Now area = 4y x y = 3600 m2 ⇒ y2 = 900 m2 ⇒ y = 30 m ∴ Length of plot = 4y m = (4 x 30) m =120 m

20
30
60
None of these

Correct Answer: None of these

Explanation:

Area of the plot = (3 x 1200) m²
= 3600 m²
Let breadth = y meters
Then Length = 4y meters,
Now area = 4y x y = 3600 m²
⇒ y² = 900 m²
⇒ y = 30 m
∴ Length of plot = 4y m
= (4 x 30) m
=120 m

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