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Figure ABCD is a kite.

Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 3 x + 1 and the length of B C is 22. Sides A D and C D are congruent. The length of A D is 4 x.

What is the length of line segment CD?

7 units
8 units
28 units
35 units

Respuesta :

Answer:

I think 28. Sorry if its wrong

Step-by-step explanation

The kite is a quadrilateral with 4 sides and angles. The length of line segment CD from the given kite is 28 units

Properties of a kite

The kite is a quadrilateral with 4 sides and angles.

From the given diagram,

AB = 3x + 1

BC = 22

Since AB = BC, hence;

3x + 1 = 22

3x = 22 - 1

3x = 21

x = 7

Since AD = CD = 4x, hence;

CD = 4x

CD = 4(7)

CD = 28 units

Hence the length of line segment CD from the given kite is 28 units

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