An aquarium holding African cichlids is 4 inches higher than it is wide. Its length is 29 inches, and its volume is 4060 in.³ Find the width and the height of the aquarium.
w = width
w + 4 = height 29 = length Volume of an aquarium (rectangular prism) V = lwh {volume = length x width x height} 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 Ask Algebra House Comments are closed.

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