A rectangle has a height of
4a^2
and a width of
6a^2+9a+3
.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
The area of a rectangle is given by the product of its height and width. Therefore, the area of this rectangle is:
Area = (height)(width)
= (4a^2)(6a^2 + 9a + 3)
To find the product, we can distribute 4a^2 to each term in the parentheses:
Area = 24a^4 + 36a^3 + 12a^2
Therefore, the area of the entire rectangle is the polynomial 24a^4 + 36a^3 + 12a^2 in standard form.