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?
​

Answer 1

Given : area of the rectangle  AYXD is equal to that of the rectangle ABFE

To Find : length of the line segment ED

Solution:

Area of rectangle AYXD  =  AY  × AD

AY = AB + BY

=> AY = 69 + 18

=> AY = 87

AD = 23

Area of rectangle AYXD  =  87  × 23

Area of rectangle ABFE  = EF  × AE

AE = AD + DE

=> AE = (23 + DE)

=> EF = 69

Area of rectangle ABFE  =  69  × (23 + DE)

87  × 23 =  69  × (23 + DE)

=> 87 = 3  (23 + DE)

=> 87 = 69 + 3 DE

=> 18  = 3 DE

=> DE = 6

length of the line segment ED = 6 m

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Answer 2

Answer:

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