Hello there! I can help you! The lengths of BC and AD are the same length. To find the length of side BC, we can write and solve an equation. Write it like this:
3x + 5 = 5x - 13
We do this, because the side lengths are equal and finding the value of x will help us. Let's subtract 3x from both sides. 3x - 3x cancels out. 5x - 3x is 2x. That makes 5 = 2x - 13. Add 13 to both sides. -13 + 13 cancels out. 5 + 13 is 18. That simplifies to 18 = 2x. Now, divide each side by 2 to isolate the x. 2x/2 cancels out. 18/2 is 9. Let's use this value and see what happens. 3 * 9 is 27. 27 + 5 is 32. 5 * 9 is 45. 45 - 13 is 32. 32 = 32. There. The length of BC is 32 units.
