Question

A rectangle has a height of 2x and a width of x^2+8x+15.

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Area =

Answer 1

`A(x)=2x^3+16x^2+30x`

Explanation:

we know that

The area of rectangle is equal to

`A=bh`

where

b is the base of rectangle or width

h is the height of rectangle

we have

`b=(x^2+8x+15)\ units\\h=2x\ units`

substitute the values

`A(x)=(x^2+8x+15)(2x)\\\\A(x)=(2x^3+16x^2+30x)\ units^2`