Question

The area of a rectangle is (x^3 – 6x2 + 11x – 6) sq. units and its breadth is (x^2 – 4x + 3)  units. Find its length in terms of x.​

Answer 1

$\sf \Large Solution!!$

Area = (x³ - 6x² + 11x - 6) sq unit

Breadth = (x² - 4x + 3)

We know the formula to find the area of rectangle is length × breadth. Use this formula to find ou tthe length.

Area = Length × Breadth

(x³ - 6x² + 11x - 6) = Length × (x² - 4x + 3)

Length = (x³ - 6x² + 11x - 6) ÷ (x² - 4x + 3) [FYI division is shown in the attachment]

Length = x - 2