Completing the square

D. Tant, 10/16/13, Kirkland 2nd period

A rectangular swimming pool is 10 ft deep. One side of the pool is 1.5 times longer than the other. The amount of water to fill the swimming pool 3840 cubic feet. Find the dimensions of the pool.

To solve, write an equation for the volume of the pool in terms of x. Let x be the length of the longer side of the pool.

Set up the equation: (x)(length given+x)(depth)=amount of water in cubic feet

Write the equation of the volume of the pool in the form ax^2=c

Get x^2 by itself.

Find square roots.

The value of x = the smaller dimensions of the pool. (Remember dimensions can't be negative)

To find the larger dimensions of the pool, remember that one side of the pool is 1.5 times longer than the other.

The answer:

The biggest pool in the world has an area equivalent to an incredible 6,000 standard-size 26 ft long domestic pools.

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