Answer:
AC = 22
BD = 22
Explanation:
The diagonals of a rectangle are equal in length.
⇒ AC = BD
⇒ 2(x - 4) = x + 7
⇒ 2x - 8 = x + 7
⇒ 2x - x = 7 + 8
⇒ x = 15
Substitute found value of x into the expressions for AC and BD:
AC = 2(x - 4)
= 2(15 - 4)
= 2(11)
= 22
BD = x + 7
= 15 + 7
= 22