Give possible expressions for the length and breadth of the following rectangle, in its area is given:
$A r e a : 25 a^{2} - 25 a + 12$

L e n g t h = 5 a + 3, B r e a d t h = 5 a + 4

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L e n g t h = 5 a + 3, B r e a d t h = 5 a - 4

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L e n g t h = 5 a - 3, B r e a d t h = 5 a + 4

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L e n g t h = 5 a - 3, B r e a d t h = 5 a - 4

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Solution

The correct option is B $L e n g t h = 5 a - 3, B r e a d t h = 5 a - 4$
Given $A r e a = 25 a^{2} - 25 a + 12$
$= 25 a^{2} - 20 a - 15 a + 12$
$= 5 a (5 a - 4) - 3 (5 a - 4)$
$= (5 a - 3) (5 a - 4)$
Therefore, the possible length and breadth are 5a-3 units and 5a-4 units.

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