Question

A rectangular swimming Pool is represented by x as the width and one less than twice the width as the length. If the area of the swimming pool is given by 28 sq. ft., which equation could be used to model the area of swimming pool?

A) 28 = 2x-1•x

B) 28x = 2x -1

C) 28 = (2x-1) + (x)

D) 28 = (2x - 1) (x)

Answer 1

Option D.
`28=(2x-1)x`

Explanation:

Let

x ----> the width of the rectangular swimming pool in feet

y ----> the length of the rectangular swimming pool in feet

we know that

the area of the rectangular swimming pool is equal to

`A=yx`

we have

`A=28\ ft^2`

so

`28=yx` -----> equation A

`y=2x-1` ---> equation B

substitute equation B in equation A

`28=(2x-1)x`