Question

If DC=6x and DA=4x+18, find the value of x then, find AD

Answer 1

The value of x is 9 and AD is 54.

Explanation:

From figure, if DC = AD, we can solve for value 'x'

DC = AD

Given:

DC = 6 x

DA = 4 x + 18

Equating the values of both, we get

6 x = 4 x + 18

6 x - 4 x = 18

2 x = 18

x = 9

So, the value of x is 9. By using this value of x, find AD

AD = 4 (9) + 18

AD = 36 + 18

AD = 54