Question

quadrilateral abcd is a rhombus. what is ad?
$14z+14$
$6z+30$
$ad = \square$

Explanation:

Step1: Set sides equal (rhombus property)

$14z + 14 = 6z + 30$

Step2: Solve for z

$14z - 6z = 30 - 14$
$8z = 16$
$z = \frac{16}{8} = 2$

Step3: Substitute z into AD's expression

$AD = 14(2) + 14$

Answer:

$42$