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

Answer:

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

Step-by-step 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

$A=3n^2 \times (4n^2-5n-1)$

$A=3n^2 \times 4n^2-3n^2 \times 5n-3n^2 \times 1$

$A=3 \times 4 \times n^2 \times n^2- 3 \times 5 \times n^2 \times n - 3n^2$

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

Hence area can be given as expression

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