Expand if necessary combine like terms (7+x)(7-x)=

49 - x^2

Step-by-step explanation:

(7+x)(7-x)

We know this is the difference of squares

(a-b) (a+b) = a^2 - b^2

7^2 - x^2 = 49-x^2

We can also FOIL

first = 7*7 = 49

Outer: = 7x

Inner: = -7x

Last : -x*x = -x^2

Add them together

49 +7x-7x - x^2

Combine like terms

49-x^2

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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