The ratio between the length and the breadth of a rectangular park is 3 : 2, and the perimeter of the park is 120 m. Find the area (in m2) of the park.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 864.
The ratio of length to breadth = 3 : 2
Let the length be 3x and the breadth be 2x.
Perimeter of a rectangle = 2(Length + Breadth)
So, 2(3x + 2x) = 120
⇒ 10x = 120
⇒ x = 12
Length = 3x = 3 × 12 = 36 m
Breadth = 2x = 2 × 12 = 24 m
Area = Length × Breadth = 36 × 24 = 864 m2
Therefore, the area of the park is 864 m2.