The length and width of the swimming pool is 50feet and 30 feet respectively.
What is surface area ?
The amount of space covering the outside of a three dimensional space is called surface area.
Formula for the surface area of rectangular swimming pool
surface area = length × breadth
According to the given question
The length of the rectangular swimming pool is 20 feet greater than the width.
and, the surface area of the pool is 1,500 square feet.
Let the width of the rectangular pool be x.
⇒ length of the pool = 20+x
therefore,
surface area of pool = length × breadth
⇒1500 = x×(20+x)
⇒[tex]1500= 20x+x^{2}[/tex]
⇒[tex]x^{2} +20x-1500=0[/tex]
⇒[tex]x^{2} +50x-30x-1500=0[/tex]
⇒[tex]x(x+50)-30(x+50)=0[/tex]
⇒[tex](x-30)(x+50)=0[/tex]
⇒x=30 and -50(not possible)
⇒x=30 feet
so, the width of the pool is 30 feet.
⇒ length of the pool = x+20 = 30+20 = 50 feet.
Hence, the length of the pool is 50 feet and width of the pool is 30 feet.
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