Question

One side of a rectangle exceeds its other side by 2 cm.If its area is 195 cm2,then the sides of the rectangle is ______

Answer 1

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Answer 2

Answer:

By the given condition,

Area of the rectangle = 195 cm²

or, x (x + 2) = 195

or, x² + 2x - 195 = 0

or, x² + (15 - 13) x - 195 = 0

or, x² + 15x - 13x - 195 = 0

or, x (x + 15) - 13 (x + 15) = 0

or, (x + 15) (x - 13) = 0

Either x + 15 = 0 or, x - 13 = 0

then, x = - 15 and x = 13

Since, length cannot be taken negative, we take x = 13

∴ one side of the rectangle is 13 cm and the other side is 13 + 2 = 15 cm

Step-by-step explanation: