Given parallelogram mnpq

prove n q

We have the parallelogram MNPQ.

So, the complete table is given by:

Statement                                                       Reason

Parallelogram MNPQ                                     Given

MN≅QP and MQ≅NP                The opposite sides of a parallelogram are congruent

MP≅MP                                        Reflexive property of congruence

ΔMQP≅ΔPNM                            SSS Congruence Postulate

∠N≅∠Q                                                 CPCTC

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