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Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.