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Question

The area of a rectangle is A=25a235a+12. Its length is (5a3), find its width.


A

5a3

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B

5a4

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C

4a5

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D

a4

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Solution

The correct option is B

5a4


Let y be the width of the rectangle
y(5a3)=25a235a+12
To find y, we need to divide 25a235a+12 by (5a3).
5a35a425a235a+12 25a215a () (+) ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 20a+12 20a+12 (+) () ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 0
y=5a4


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