The area of a rectangular garden is (12x2-8x -15) m2, what are its dimensions?
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Given :- The area of a rectangular garden is (12x² -8x -15) m², what are its dimensions ?
Solution :-
Solving the area , we get,
→ 12x² - 8x - 15
→ 12x² - 18x + 10x - 15
→ 6x(2x - 3) + 5(2x - 3)
taking (2x - 3) common ,
→ (2x - 3)(6x + 5)
we get,
→ (2x - 3)(6x + 5) = 12x² - 8x - 15
→ (2x - 3)(6x + 5) = Area of square.
→ Length * Breadth = Area of square.
Therefore, we can conclude that, the dimensions of the rectangle are (2x - 3) and (6x + 5) .
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