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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?

 Jul 26, 2015

Best Answer 

 #1
avatar+118587 
+5

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

 Jul 26, 2015
 #1
avatar+118587 
+5
Best Answer

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

Melody Jul 26, 2015

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