Question

quadrilateral bcde is a rhombus. what is de?
$7a$
$a+24$
$de = \square$
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Explanation:

Step1: Set sides equal (rhombus property)

All sides of a rhombus are congruent, so $7a = a + 24$

Step2: Solve for $a$

Subtract $a$ from both sides: $7a - a = 24$
$6a = 24$
Divide by 6: $a = \frac{24}{6} = 4$

Step3: Calculate length of $DE$

Substitute $a=4$ into $7a$: $DE = 7 \times 4$

Answer:

28