Question

a rectangular swimming pool is 25 feet long and 10 feet wide, It is surrounded by a fence that is x feet from each side of the pool. a.draw a diagram of the situation. b.write an expression for the length, width, and the area of the fenced option.

Answer 1

a. In the diagram, the inner rectangle in brown shows the pool with length 25 feet and width 10 feet.

The outer rectangle in blue shows a fence with is x feet wide uniformly.

The length of the fence is
`25+x+x = 25+2x ft`

Similarly, the width of the fencing is
`10+x+x = 10+2x ft`.

b. Length of fence =
`25+2x ft`

Width of fence =
`10+2x ft`

Area of a rectangle is given as length * width

A =
`(25+2x)(10+2x)`

`(25+2x)(10+2x) = 250+50x+20x+4x^2`

A =
`4x^2+70x+250` ft^2