Question

In rectangles ABCD, AC=3x+15 and DB==4x-5.
Find the length of AC

Answer 1

For, rectangles ABCD.

AC=BD

3x+15=4x-5

4x-3x=15-5

x=20

AC=3x+15

= 3(20)+15

= 60+15

= 75

Answer 2

Answer: 75

Explanation:

Since AC and BD are diagonals of a rectangle, they must be congruent.

Therefore, 3x + 15 = 4x - 5.

We can combine like terms:

x = 20

Therefore, AC = 3*20 + 15

= 60 + 15

= 75