Question

Rhombus A B C D is shown. The length of A B is 9 s + 29 and the length of opposite side D C is 10 s minus 16. What is the value of s and the length of side BC if ABCD is a rhombus? S = AB = units

Answer 1

s=45

ab=434

Explanation:

Answer 2

• s=45 Units

• Length of side BC=434 Units

Explanation:

Given a rhombus ABCD

|AB|=|DC| (Opposite sides of a rhombus are equal)

|AB|=9s+29

|DC|=10s-16

Therefore:

9s+29=10s-16

Collect like terms

10s-9s=29+16

• s=45 Units

Recall: |AB|=9s+29

|AB|=9(45)+29=405+29=434 Units

Since all the sides of a rhombus are congruent

AB=AC=BD=CD

Therefore:

|BC|=434 Units

• Therefore, the length of side BC=434 Units