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If AB = 9 and AB ∣∣∣∣ DC, what is the perimeter of ABCD?

If AB = 9 and AB ∣∣∣∣ DC, what is the perimeter of ABCD?-example-1
User Shiela
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2 Answers

2 votes

Answer:

38

Step-by-step explanation:

Since the figure shown of ABCD has two pairs of parallel lines, it can be classified as a parallelogram.

Opposite sides are congruent in a parallelogram, so:

AB = CD = 9

BC = AD = 10

To find the perimeter you sum together all the sides. Therefore the perimeter of ABCD would be AB + BC + CD + AD. This is equal to:

9 + 10 + 9 + 10 = 38

User HTN
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7.7k points
3 votes
38

Step-by-step explanation:

This is a parallelogram. You can tell because the opposite sides are parallel, as shown by the arrows on the shape. In a parallelogram, the opposite sides are equal. Since AB is 9, DC should also be 9. And since BC is 10, DA should also be 10. Now, you can add up all the sides. 9+9+10+10= 38
User Leite
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