The perimeter of a rectangular swimming pool is 86 m and its area is 450 square meters. If the width is represented as w, how do you represent its length?
The perimeter of a rectangular swimming pool is 86 m and its area is 450 square meters. If the width is represented as w, how do you represent its length?
P=2(L+w) 86=2(L+w) 43=L+w L=43-w | A=L*w 450=L*w L=450/w |
$$\\43-w=\frac{450}{w}\\\\
43w-w^2=450\\\\
w^2-43w+450=0\\\\
w=\frac{43\pm \sqrt{1849-1800}}{2}\\\\
w=\frac{43\pm 7}{2}\\\\
w=25\;\;or\;\;18$$
Length is 25m width is 18m
The perimeter of a rectangular swimming pool is 86 m and its area is 450 square meters. If the width is represented as w, how do you represent its length?
P=2(L+w) 86=2(L+w) 43=L+w L=43-w | A=L*w 450=L*w L=450/w |
$$\\43-w=\frac{450}{w}\\\\
43w-w^2=450\\\\
w^2-43w+450=0\\\\
w=\frac{43\pm \sqrt{1849-1800}}{2}\\\\
w=\frac{43\pm 7}{2}\\\\
w=25\;\;or\;\;18$$
Length is 25m width is 18m