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

l = (3x+5)

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=(A)/(b)\\\\l=(3x^2-x-10)/(x-2)\\\\l=((x-2)(3x+5))/(x-2)\\\\l=(3x+5)`

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