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?

Question

1668 views around the world

You can reuse this answer
Creative Commons License

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'#