[15 points] a rectangle has a width w and a length that is two more than its width. what is the perimeter of the rectangle? write and simplify an expression.

P = 4w + 4

Step-by-step explanation:

width (w) = w

length (L) = w + 2  (2 more than its width)

Perimeter (P) = 2L + 2w

P = 2L + 2w

  = 2(w + 2) + 2(w)

  = 2w + 4   +  2w

  = 4w + 4

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.