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We conclude that:

Step-by-step explanation:

Given the expression

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

since the denominators are equal, combine the fractions:

so the expression becomes

simplify

Therefore, we conclude that:

a

step-by-step explanation:

a

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.