Arectangular 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 the swimming pool? a. 28 = (2x - 1) + (x) b. 28 = 2x -1•x c. 28 = (2x - 1)(x) d. 28x = 2x - 1

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

Step-by-step explanation:

Given :

There is a rectangular swimming pool.

Width of swimming pool is x

Length is  one less than twice the width

Area of the swimming pool is  28 sq ft.

To Find : Equation could be used to model the area of the swimming pool.

Solution:

Since we are given that Length is one less than twice the width.

And width is x (given)

So, length = 2x-1

Area of the swimming pool is  28 sq ft.

Now ,

Formula of area of rectangle : Length*Width

⇒28= (2x-1)(x)

So,  equation used to model the area of the swimming pool: 28= (2x-1)(x)

Hence Option c is correct.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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