Question

The area of a rectangle is x^3-8^2+7 and one of it's sides is x-1.Find the length of a adjacent side​

Answer 1

Given:

• Area of rectangle = x³ - 8x² + 7
• One of its sides = x - 1

To find:

• Length of adjacent side

Concept used:

Area of rectangle = Length × Breadth

Since it's not clearly mentioned which side is length and which side is breadth, we can modify the formula as:

Area of rectangle = Given side × Adjacent side

Solution:

Substitute the given values in the above formula.

(x³ - 8x² + 7) = (x - 1) × (Adjacent side)

⇒ Adjacent side = (x³ - 8x² + 7) ÷ (x - 1)

(Process of division is given in attachment.)

So after division, quotient obtained is 【x² - 7x - 7】

∴ Length of adjacent side = x² - 7x - 7