The perimeter of rectangular swimming pool is 154m. Its length is 2m more than twice its breath. What are the length and the breath of the pool?
Answers
Answer:
Let the breadth of the rectangular swimming pool be x m and the length be (2x+2)[ given in the question].
Applying the formula of perimeter of a rectangle -
2 (length + breadth)
→ 2 (2x + 2 + x)
→ 2 (3x + 2)
→ 6x + 4
According to the question -
Perimeter = length × breadth
→ 154 = 6x + 4
→ 6x = 154 - 4
→ 6x = 150
→ x = 150/6
→ x = 25
- Breadth = 25 m.
- Length = 2x + 2 = 2 × 25 + 2 = 52 m.
Therefore, the length of the rectangular swimming pool is 52 m and breadth is 25 m.
Answer:
Given,
Perimeter=154 m
Let breadth be = n
Length = 2+2 n
Perimeter of rectangle = 2( length+ breadth)
154 =2(2+2n+n)
154 = 2(2+3n)
154. = 4+6n
154-4 = 6 n
150=6n
150/6 = n
25 = n
Length=2+2n
=2+2×25
=52 m
Breadth=25 m