Q:

A rectangle a small pool is 8 feet deep one side of the pool is 4.5 times longer than the other. The amount of what I needed for the swimming pool is 3600 ft.³ find the dimensions of the pool

Accepted Solution

A:
Answer: The dimension of swimming pool is 45 feet by 10 feet by 8 feet . Step-by-step explanation:Given as :The depth of pool = 8 feetThe one side of pool is 4.5 times longer than the otherLet the measure of other side = x feetSo, the measure of one side = 4.5 xThe volume of pool = 3600 ft³ Now, Volume of pool = Length×Breadth×Heightor, 3600 = x × 4.5 x × 8Or, 4.5 x² = [tex]\frac{3600}{8}[/tex]or, 4.5 x² = 450Or, x² = [tex]\frac{450}{4.5}[/tex] Or,  x² = 100∴ x = √100 = 10 feetso,The measure of other side 10 feet , measure of one side =4.5 ×10 = 45 feetHence The dimension of swimming pool is 45 feet by 10 feet by 8 feet . Answer