Question

rectangle rstw has diagonals RT and SW that intersect at Z. If RZ= 5x+8 and SW= 11x-3 find the value of x.

Answer 1

19

Step-by-step explanation:

We know that the diagonals of a rectangle are always equal, therefore RT = SW.

So if RZ = 5x + 8 and SW = 11x - 3, lets's go ahead and find x as shown below;

`\begin{gathered} 2(5x+8)=11x-3 \\ 10x+16=11x-3 \\ 16+3=11x-10x \\ 19=x \\ \therefore x=19 \end{gathered}`