Question

Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A​

Answer 1

A=4.

Explanation:

Note: In the expression of area the first term should be
`Ax^2`.

It is given that area of a rectangular floor of your house is
`Ax^2+5x-2` and the length is
`(x+2)` units.

We know that, area of a rectangle is

`Area=length* width`

Since length of the rectangle is
`(x+2)`, therefore
`(x+2)` is a factor of
`Ax^2+5x-2` and the value of
`Ax^2+5x-2` is 0 at x=-2.

`A(-2)^2+5(-2)-2=0`

`4A-10-2=0`

`4A-12=0`

`4A=12`

Divide both sides by 4.

`A=4`

Therefore, the value of A is 4.