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Question
Given the area of rectangle is A=25a235a+69. The length is given as (5a3).Find the width of the rectangle.
Options:
A .  5a−3
B .  5a−4
C .  4a−5
D .  a−4
Answer: Option B
:
B
Let ybe the width.
Given: Area=25a235a+69
We know that, area of a rectangle= Length×breadth
Hence,y×(5a3)=25a235a+69
y=(25a235a+69)÷(5a3)
By long division method,
5a35a23)¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯25a235a+6925a212a+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯23a+6923a+69+¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯0
y=5a23Width of the rectangle =5a23

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