The area of a rectangle is $A = 25 a^{2} - 35 a + 12$ . Its length is ( $5 a - 3$ ). Find its width.

5a - 3

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5a - 4

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4a - 5

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a - 4

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Solution

The correct option is B
5a - 4

Let y be the width.
Since area is $25 a^{2} - 35 a + 12$ , we have
$y (5 a - 3) = 25 a^{2} - 35 a + 12$
$\Rightarrow y = \frac{(25 a^{2} - 35 a + 12)}{(5 a - 3)}$ .

$∴ y = 5 a - 4$

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