A rectangular pool has an area of #750# #ft^2#. The length is 16 feet longer than the width. What are the dimensions of the pool?

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Answer 1 · 2018-04-06T12:13:46

#"Dimensions of the pool ' l = 36.53', w = 20.53'#

Given ; # l = w + 16, A = 750 sq.ft.#

#"Area of rectangle " A = l * w = (w + 16) * w#

#w^2 + 16w = 750#

#w^2 + 16w - 750 = 0#

#w = (-16 +- sqrt(16^2 - 4 * (-750))) / 2#

#w = (-16 +- sqrt 3256)/ 2 = -8 +- sqrt 814 = -8 +- 28.53#

#w = 20.53, cancel(- 36.53) " invalid"#

#w = 20.53', l = 20.53 + 16 = 36.53'#