Question
Give possible expression for the length and breadth of the rectangle, in which the area is $35{y^2} + 13y - 12$
✓
Answer
${\text{Area : }}35{y^2} + 13y - 12$
The expression $35{y^2} + 13y - 12$ can also be written as, $35y^2 + 28y - 15y - 12$
$= 35{y^2} + 28y - 15y - 12$
$= 7y\left( {5y + 4} \right) - 3\left( {5y + 4} \right)$
$= \left( {7y - 3} \right)\left( {5y + 4} \right)$
Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of area $35{y^2} + 13y - 12$ is Length $= 7y - 3$ and Breadth $= 5y + 4$
The expression $35{y^2} + 13y - 12$ can also be written as, $35y^2 + 28y - 15y - 12$
$= 35{y^2} + 28y - 15y - 12$
$= 7y\left( {5y + 4} \right) - 3\left( {5y + 4} \right)$
$= \left( {7y - 3} \right)\left( {5y + 4} \right)$
Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of area $35{y^2} + 13y - 12$ is Length $= 7y - 3$ and Breadth $= 5y + 4$
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