the perimeter of a rectangular pool is 86 m and its area is 450m² find the dimension of the pool.
paano makuha yung quadratic equation?
Answers
Answer:
Answer:
length = 25 m
width = 18 m
Step-by-step explanation:
\begin{gathered}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\end{gathered}
2(l+b)=86
l+b=43
lb=450
solvingtheseequationsweget
l+
l
450
=43
orl
2
−43l+450=0
l=
2
43+7
orl=
2
43−7
l=25orl=18
b=43−25=18orb=43−18=25
hencelengthofswimmingpoolis25
andwidthofswimmingpoolis18m