Question

Mr. Ramkumar has a beautiful rectangular garden and a swimming pool (in the form of a cuboid)
in his laxurious bungalow. The area of the garden is x²+2x-15 .What are the dimensions of the
garden.

Answer 1

The area of the garden is x²+2x-15

$l \times b = {x}^{2}+ 2x - 15 \\ = {x}^{2} + 5x - 3x - 15 \\ = x(x + 5) - 3 (x + 5) \\ = (x + 5)(x - 3) \\ l \times \:b = (x + 5)(x - 3) \\ l = - 5 \: \: \: \: \: \: \: b = 3$