Find a ∩ b if a = {3, 6, 9, 12} and b = {2, 4, 6, 8, 10, 12}.

The set A ∩ B contain {6, 12}

Step-by-step explanation:

Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}

We have to find A ∩ B

Consider the given sets

Set A = {3, 6, 9, 12}

and set B = {2, 4, 6, 8, 10, 12}

Since, A ∩ B  includes those elements that are both in set A and set B.

Thus, the common elements of A and B are 6 and 12

So , the set A ∩ B contain {6, 12}

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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