Which of the following is equivalent to (2x + 3)(2x + 3)?

Step-by-step explanation:

Identity : (a + b)² = a² + 2ab + b²

It is given that,

(2x + 3 )(2x + 3)

we can write (2x + 3 )(2x + 3) = (2x + 3)²

It is similar to the identity.

Here a = 2x and b = 3

Therefore,

(2x + 3)² = (2x)² + 2 *2x*3 + 3²

              = 4x² + 12x +9

Therefore the correct answer is option A. 4x² + 12x +9

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet