For XYZA to be a rectangle, the opposite sides must be equal in length.
Let x = 3.
Then, 5x - 5 = 5(3) - 5 = 10.
3x + 3 = 3(3) + 3 = 12.
Therefore, when x = 3, the opposite sides of XYZA are equal in length (10 = 12), making it a rectangle.
5x - 5
3x + 3
For what value of x is figure XYZA a rectangle ?
Show work
2 answers
If the two values are opposite sides, then they must be equal:
5x - 5 = 3x + 3
x = 4
5x - 5 = 3x + 3
x = 4