Question

The perimeter of a rectangular swimming pool is 154 cm its land is 2 metre more than twins in breath what are the length and breadth of the pool

Answer 1

Let the length of the pool be denoted by [math]l[/math], and the breadth be denoted by [math]b[/math]

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

[math]l = 2b + 2[/math]

Now, for a rectangle, the perimeter, [math]P,[/math] is given by:

[math]P = 2l + 2b[/math]

Substituting our expression for [math]l[/math] gives:

[math]P = 2(2b+2) + 2b = 6b + 4 = 154[/math]

which we can re-arrange to find:

[math]6b = 150 \implies b = 25[/math]

And plugging this into our expression for [math]l[/math] yields:

[math]l = 2b+2 = 2 \times 25 + 2 = 52[/math]

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

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Pragna