Question

The perimeter of a rectangular swimming pool is 208 m. Its length is 8 m more than twice its
breadth. What is the length and breadth of the pool?​

Answer 1

Answer:

Step-by-step explanation:Let the breadth be 'x'

Length = 2 + 2x

Now perimeter of a rectangle = 2(l + b)

2(l + b) = 154

2 ( 2 + 2x + x) = 154

2 ( 2 + 3x) = 154

2 + 3x = 77

3x = 75

x = 25 m

Required breadth = 25 m

Length = 2 + 2 x 25 = 52 m

Hope This Helps You!

Answer 2

Answer:

Let the length of the pool be denoted by l , and the breadth be denoted by b

Then, the statement, “Its length is 2 m more than twice its breadth” is equivalent to writing:

l=2b+2

Now, for a rectangle, the perimeter, P, is given by:

P=2l+2b

Substituting our expression for l gives:

P=2(2b+2)+2b=6b+4=154

which we can re-arrange to find:

6b=150⟹b=25

And plugging this into our expression for l yields:

l=2b+2=2×25+2=52

Thus its length is 52m and its breadth is 25m