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Step-by-step explanation:

For a parallelogram the diagonals (and half diagonals are equal. So we can say

3m=m+8

2m=8

m=4

And we can also say that

3m+m+8=2n-1+9

4m+8=2n+8

4m=2n

2m=n, and since we know m=4

n=2(4)

n=8

So m=4 and n=8

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