Question

A rectangle has a height of 3n^2 and a width of 4n^2-5n-1.

Express the area of the entire rectangle.

Answer 1

`A = 12n^4-15n^3-3n^2`

Explanation:

The dimensions of a rectangle are length and breadth/width

Here we are given height . Assuming it to be one of the side of the rectangle , we will do the further calculation

Hence one side is

side 1 =
`3n^2`

And the other side is

Side 2 =
`4n^2-5n-1`

The area of rectangle = side 1 x side 2

`A=3n^2 * (4n^2-5n-1)`

`A=3n^2 * 4n^2-3n^2 * 5n-3n^2 * 1`

`A=3 * 4 * n^2 * n^2- 3 * 5 * n^2 * n - 3n^2`

`A=12n^4-15n^3-3n^2`

Hence area can be given as expression

`A=12n^4-15n^3-3n^2`