Answer:
[tex](15 + 2x)(20 + 2x)[/tex]
Step-by-step explanation:
Given
[tex]Length= 15[/tex]
[tex]Width = 20[/tex]
[tex]Deck = x[/tex] --- on both sides
Required
An expression for total area of the pool
Because the deck will be on both sides,
the dimension of the pool will be:
[tex]L = Length + 2 * deck[/tex] --- Length
[tex]L = 15 + 2x[/tex]
[tex]W = Width + 2 * deck[/tex] --- Width
[tex]W = 20 + 2x[/tex]
The total area of the pool is calculated as:
[tex]Area = Length * Width[/tex]
[tex]A = (15 + 2x) * (20 + 2x)[/tex]
[tex]A =(15 + 2x)(20 + 2x)[/tex]
Hence, the expression is: [tex](15 + 2x)(20 + 2x)[/tex]
