Question

The diagonals of a rectangle are AC = 5x-4 and BD = 7x-18.
Solve for x

Answer 1

x = 7

Explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7