The length of a rectangular park is 2m less than thrice it's breath. The perimeter of the park is 156m.findi it's length
Answers
Answer:
answer for the given problem is given
Length of the rectangular park is 58m.
Length of a rectangular park is 2m less than thrice the breadth and perimeter of park is 156m.
Length of the rectangular park.
Let
Breadth of the rectangular park be x
Length of the rectangular park will be 3x - 2
Given
Perimeter of the rectangular park is 156m.
As we know that
Perimeter of the rectangle is
2 (l + b)
Where
l = length of the rectangle
b = breadth of the rectangle
According to question :-
⇒ 2 {(3x - 2) + x} = 156
⇒ 2 {3x + x - 2} = 156
⇒ 2 { 4x - 2 } = 156
⇒ 4x - 2 = 156/2
⇒ 4x - 2 = 78
⇒ 4x = 78 + 2
⇒ 4x = 80
⇒ x = 80/4
⇒ x = 20
Now
Breadth of the rectangular park = x = 20m
Length of the rectangular park = 3x - 2 = 3(20) - 2 = 58m
Hence, the length of the rectangular park is 58m.