Question

ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x.

Answer 1

AC and BD are diagonals so they are congruent to each other and you can set the expressions equal

5x+2=x+22
Then, you need to subtract 2 from both sides to get 5x=x+20

Next, you subtract x from both sides to get 4x=20

Finally, you divide both sides by 4 to get a final answer of x=5