Question

Given the rectangle ABCD as shown, find the value for x if DO = 4x+8 and CO = 15x - 3​

Answer 1

x = 1

Explanation:

diagonals of rectangle should be the same length:

AC = BD

2 × CO = 2 × DO

CO = DO

15x - 3 = 4x + 8

15x - 4x = 8 + 3

11x = 11

x = 1

Answer 2

In the rectangle ABCD, DO = CO. Given that DO = 4x + 8 and CO = 15x - 3, we can set these two equations equal to each other and solve for x:

4x + 8 = 15x - 3

Solving this equation gives:

15x - 4x = 8 + 3

11x = 11

So, x = 1. Therefore, the value of x that makes DO equal to CO in the rectangle ABCD is 1.