Question

1.

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 the swimming pool?

A) 28 = 2x - 1•x

B) 28x = 2x - 1

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

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

Answer 1

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

Explanation:

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.

Answer 2

28=(2x-1)(x)

Explanation:

The swimming pool is rectangular in shape.

Hence the area of it is given by:

l * w

where l = length of the rectangular swimming pool

w = width of the rectangular swimming pool

In this question it is given:

width = w = x

length = l = 2x - 1

Area = 28 sq.ft

Hence:

Area = l * w = (2x-1)(x)

28 = (2x-1)(x)