Question

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

Answer 1

Since ABCD is a rectangle, we know that DO and CO are equal in length. Therefore, we can set their expressions equal to each other:

4x + 8 = 15x - 3

Next, we isolate the variable x. First, we can subtract 4x from both sides:

8 = 11x - 3

Then, we can add 3 to both sides:

11 = 11x

Finally, we divide both sides by 11 to solve for x:

x = 1