The perimeter of a parallelogram must be no less than 40 feet. the length of the rectangle is 6 feet. what are the possible measurements of the width? write an inequality to represent this problem. use w to represent the width of the parallelogram. [hint: the formula for finding the perimeter of a parallelogram is p = 2l + 2w. what is the smallest possible measurement of the width? justify your answer by showing all your work.

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

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