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Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
Area of the entire rectangle
Solution:
Area of the blue box = length × width
Area of the blue box
Area of the pink box = length × width
Area of the pink box
Area of the green box = length × width
Area of the green box
Area of the orange box = length × width
Area of the orange box = 24
Total area of the rectangle
Area of the entire rectangle