The perimeter of rectangular swimming pool is 164 m. It's length is 3m more than twice its breadth. what are the length and breadth of the pool
Answers
Answer
length =55.66
breadth =26.33
Step-by-step explanation:
GIVEN THAT
PERIMETER =164
let breadth =x
let length =2x+3
2 (l+b)=PERIMETER
2(2x+3+x) = 164
2 (3x+3) = 164
6x+6 =164
6x =164-6
6x =158
x =158/6
x =26.33
length =2x+3=55.66
breadth=x=26.33
CHECKING THE SUM
perimeter =2 (l+b)
2 (55.66 + 26.33)
2 (81.99)
163.98
163.98 is approximately equal to 164
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Answer:
Breadth = 26.66 m
Length = 55.32 m
Step-By-Step Explanation:
Given that,
Perimeter of rectangular swimming pool = 164 m
Let the breadth of rectangle be = x
According to the question,
Length of the rectangle = 2x + 2 We know that,
Perimeter = 2(length + breadth)
⇒ 2(2x + 2 + x) = 164 m
⇒ 2(3x + 2) = 164
⇒ 3x +2 = 164/2
⇒ 3x = 82 – 2
⇒ 3x = 80
⇒ x = 80/3
⇒ x = 26.66 m
Therefore, Breadth = x = 26.66 cm
Length = 2x + 2
= (2 × 26.66) + 2
= 53.32 + 2
= 55.32 m