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Given:
Area of rectangular pool = 640 square feet
The length is 12 feet shorter than the width.
To find:
The length and width of the pool.
Solution:
Let width of the pool = x feet
Then, Length of the pool = (x-12) feet
Area of a rectangle is
Area of pool is 640 square feet. So,
Splitting the middle term, we get
Using zero product property, we get
Dimensions cannot be negative. So, x=32.
Now,
Width of the pool = 32 feet
Length of the pool = 32-12 = 20 feet
Therefore, the length of the pool is 20 feet and width is 32 feet.