Question

in the parallelogram shown, ae = t + 2, ce = 3t - 14, and de = 2t + 8. what is the length of line segment db? 20 units 24 units 48 units 68 units

Explanation:

Step1: Diagonals bisect in parallelogram

AE = CE

Step2: Solve for t

t + 2 = 3t - 14 → 2t = 16 → t = 8

Step3: Find DE length

DE = 2t + 8 = 2(8) + 8 = 24

Step4: DB = 2×DE

DB = 2×24 = 48

Answer:

C. 48 units