Question

The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room

Answer 1

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, $A=3x^2-x-10$

The width of the room, $b=(x-2)$

We need to find the length of the room.

The area of the room is given by :

A = lb

$l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)$

So, the length of the room is equal to (3x+5).