give possible expressions for the length and breadth of the following rectangles, in which their areas are given:
Area: 35y² +13y -12

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Solution

We are given 35y² + 13y - 12. Let us factorise it.
35y² + 13y - 12
= 35y² + 28y - 15y - 12
= 7y (5y + 4) - 3 (5y + 4)
= (7y - 3) (5y + 4)
So, the possible expressions are (7y - 3) (5y + 4).
Possible length can be (7y - 3)
Possible breadth can be (5y + 4).

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