Question 1072373
w = width
w + 4 = height
29 = length


Volume of an aquarium (rectangular prism)
V = lwh


29(w)(w + 4) = 4060   {substituted into volume formula}
w(w + 4) = 140   {divided each side by 29}
w² + 4w = 140   {used distributive property}
w² + 4w - 140 = 0   {subtracted 140 from each side}
(w + 14)(w - 10) = 0   {factored into two binomials}
w + 14 = 0   or   w - 10 = 0   {set each factor equal to 0}
w = -14 or w = 10  {solved each equation for w}
w = 10 only {width of an aquarium cannot be negative}
w + 4 = 14  {substituted 10, in for w, into w + 4}


width = 10 inches
height = 14 inches
length = 29 inches
<br>For more help from me, visit: <a href = "http://www.algebrahouse.com/" target = "_blank">www.algebrahouse.com</a><br><br><br>