The length of a rectangular-shaped park exceeds its breadth by 15 m. If the perimeter of the park is 110 m, find the length of the park (in m).
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 35.
Let the breadth of the park be x meters.
So, the length = (b + 15) meters
The perimeter of a rectangle = 2(length + breadth)
So, 2(x + 15 + x) = 110
⇒ 2(2x + 15) = 110
⇒ 4x + 30 = 110
⇒ 4x = 110 - 30 = 80
⇒ x = 80/4 = 20 m
Length = x + 15 = 20 + 15 = 35 m
Therefore, the length of the park is 35 meters.