Question

What is the value of s and the length of side BC if ABCD is a rhombus?

Answer 1

answer

s=45 units

bc=434 units

explanation

Find the value of s

In a Rhombus all sides are congruent so

AB=BC=CD=DA

AB=9s+29

CD=10s−16

equate AB and CD

9s+29=10s−16

Combine like term

10s−9s=29+16

s= 45 units

the value of s is 45 units

Find the value of side AB

AB=9s+29AB=9s+29

substitute the value of s

AB=9*45+29=434 units

Remember that the sides are congruent

AB=BC=CD=DA

therefore

The length of the side BC is 434 units