Question

The perimeter of the rectangular swimming pool is 86m and its area is 450m². What is the length and the width of the swimming pool?

Answer 1

Answer:

length = 25 m

width = 18 m

Step-by-step explanation:

$2(l + b) = 86 \\ l + b = 43\\ \\ lb = 450 \\ \\ solving \: these \: equations \: we \: get \\ \\ l + \frac{450}{l} = 43 \\ \\ or \: \: \: { {l}^{2} - 43l + 45}0 = 0 \\ \\ \\ \\ l = \frac{43 + 7}{2} \: \: \:o r \: \: l = \frac{43 - 7}{2} \\ \\ l = 25 \: \: \: or \: \: \: l = 18 \\ \\ b = 43 - 25 = 18 \: \: \: \: or \: \: \: \: b = 43 - 18 = 25 \\ \\ \\ hence \: \: length \: of \: swimming \: pool \: is \: 25 \: \\ and \: width \: of \: swimming \: pool \: is \: 18 \: m$