Question

The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth . what are the length and the breath of the pool​

Answer 1

Answer:

$length \: = 2 \times breadth + 2$

$perimeter = 2(length \: + breadth)$

$154 = 2(b + 2b + 2)$

$77 = 3b + 2$

$3b = 75$

$b = 25$

$breadth = 25m$

$length = 2 \times 25 + 2$

$length = 50 + 2$

$length = 52m$

Answer 2

$let \: breadth \: be \: x \\ length \: = 2 + 2x \\ perimeter \: = 154 \: m \\ p = 2(l + b) \\ 154 = 2((2 + 2x) + x) \\ 154 = 4 + 4x + 2x \\ 154 = 4 + 6x \\ 6x = 154 - 4 \\ 6x = 150 \\ x = \frac{150}{6} \\ x = 25 \: m \\ length = 2 + 2x = 2 + 2(25) = 52 \: m \\ breadth \: = 25 \: m$

hope this helps