The perimeter of a rectangular swimming pool is 188m. It's length is 4m more than twice its breadth.find the length and breadth.
Answers
Given :
- he perimeter of a rectangular swimming pool is 188m.
- It's length is 4m more than twice its breadth.
To find :
- The length and breadth of the rectangular swimming pool =?
Formula Used :
- Perimeter of the rectangle = 2( length + breadth)
Step-by-step explanation :
Let, the breadth of the rectangular swimming pool be, x.
Then, the length of the rectangular swimming pool be, 2x + 4.
It is Given that,
The perimeter of a rectangular swimming pool is 188m.
As We know that,
Perimeter of the rectangle = 2(length + breadth)
Substituting the values in the above formula, we get,
188 = 2(x + 2x + 4)
188 = 2(3x + 4)
188 = 6x + 8
6x + 8 = 188
6x = 188 - 8
6x = 180
x = 180/6
x = 30.
Therefore, We got the value of, x = 30 m.
Hence, the breadth of the rectangular swimming pool, x = 30 m.
★ Question
The perimeter of a rectangular swimming pool is 188m. It's length is 4m more than twice its breadth.find the length and breadth
★ Given
- Perimeter of rectangle = 188
- length is 4m more than twice of breadth
★ To Find
- length = ?
- breadth = ?
★ Solution
- let length = x
- breadth = 2x+4
perimeter of rectangle = 2(l+b
where , l = length , b = breadth
★ Hence,
- Length = x = 30m
- Breadth = 2x+4 = 2×18+4 , 36+4=40m