Question

What is the length of the line segment ED in the given figure, if the area of the rectangle AYXD is equal to that of the rectangle ABFE?

• A. 12 m
• B. 3 m
• C. 9 m
• D. 6 m

Answer 1

The correct option is D 6 m

In the given figure,
Area of AYXD = AY × AD
AY = AB + BY = EF + BY = 69 + 18 = 87 m
Area of AYXD = 87 × 23 = 2001 m²

Also given,
Area of AYXD = Area of ABFE
87 × 23 = EF × AE
87 × 23 = 69 × (23 + ED)
87 = 3 × (23 + ED)
ED + 23 = 29
ED = 29 - 23 = 6 m

Therefore, ED = 6 m