Question

If AE = x + 2 and BD = 4x – 16, then the length of ACI is A6 B. 10 C. 12 D. 24

Answer 1

Remember that

the diagonals in a rectangle are congruent and bisect each other

that means

AE=BD/2

substitute the given values

x+2=(4x-16)/2

solve for x

2x+4=4x-16

4x-2x=4+16

2x=20

x=10

AC=BD=4(10)-16=24

answer is option D