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Anon25 [30]
3 years ago
12

Figure ABCD is a parallelogram

Mathematics
2 answers:
dedylja [7]3 years ago
5 0
The answer would be C. 44 units. 

Nadya [2.5K]3 years ago
4 0

The first thing we must do for this case is to find the relationship between the variables.

We have then:

AB = DC\\4y - 2 = 2y + 6

From here, we clear the value of "Y":

4y - 2y = 6 + 2\\2y = 8

y = \frac{8}{2}\\y = 4

On the other hand we have:

AD = BC\\3x - 1 = 2x + 2

From here, we clear the value of "x":

3x - 2x = 2 + 1\\x = 3

Then, replacing values we have:

AB = DC = 4y - 2 = 4 (4) - 2 = 16 - 2 = 14\\AB = DC = 14

On the other hand:

AD = BC = 2x + 2 = 2 (3) + 2 = 6 + 2 = 8\\AD = BC = 8

Finally, the perimeter is given by:

P = AB + DC + AD + BC

Substituting values we have:

P = 14 + 14 + 8 + 8\\P = 44

Answer:

the perimeter of ABCD is:

44 units

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