Rectangle ABCD has diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ . If the diagonal lengths are AC=36cm and BD=(3x+3)cm, find the value of x.
A. 5 cm
B. 11 cm
C. 13 cm
D. 23 cm
The diagonals of a rectangle are congruent, so we can set up the equation:
AC = BD
36 = 3x + 3
33 = 3x
x = 11
The value of x is 11 cm, so the correct answer is B.