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Question

ABCD is a rectangle such that AC+AB=5AD and ACAD=8, then the area of rectangle ABCD is

A
36sq. units
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B
50. sq. units
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C
60 sq. units
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D
Cannot be found
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Solution

The correct option is A 60 sq. units
L=length & b=breadth
L2+b2+L=5b (i)
L2+b2b=8
L2=64+16b (ii)
Solving (i) & (ii) we get
L2+4L96=0
L=12,b=5
Arcat =Lb=60 sq.units

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