Answer:
Step-by-step explanation:
The volume of the aquarium is 2880 in^3.
Height of the aquarium is 4 inches
The base of the aquarium is rectangular in shape.
Let the length be L
Let the width be W
The length of the rectangle is 4 inches more than twice the width. It means that
L = 2W + 4
The volume of the aquarium is expressed as L × W × H
Therefore
L × W × H = 2880
Since H = 4,
4LW = 2880
LW = 2880/4 = 720
LW = 720 - - - - - - - -1
Substituting L = 2W + 4 into equation 1, it becomes
W(2W + 4) = 720
2W^2 + 4W - 720 = 0
W^2 + 2W - 360 = 0
W^2 + 20W - 18W- 360 = 0
W(W +20) - 18(W + 20) = 0
W-18 = 0 or W + 20 = 0
W = 18 or W = -20
Since the width cannot be negative, it is 18 inches
L = 720/W = 720/18
L = 40 inches
Length is 40 inches
Width is 18 inches
