Question

Figure ABCD (below) is a kite.

What is the length of line segment CD?

A. 7 units
B. 8 units
C. 28 units

Answer 1

3x + 1 = 22
3x = 21
x = 7

CD = AD = 4x = 4(7) = 28

answer
CD = 28

C. 28 units

Answer 2

The length of line segment CD is 28 units.

Explanation:

Given the diagram of kite in which

`AB=3x+1`

`BC=22`

`AD=4x units`

As two disjoint pairs of consecutive sides of kite are congruent i.e

AB=BC and AD=DC

`3x+1=22`

`3x=22-1`

`x=(21)/(3)=7`

`CD=AD=4x=4* 7=28 units`

Hence, the length of line segment CD is 28 units.

Option C is correct.