Question

The length of a rectangle is 4a^4 • b^5 and the width is 3a^2 • b^3 what is the expression that represents the area of the rectangle?

Answer 1

Answer:

The expression for area of rectangle is: $\mathbf{Area\: of\: Rectangle=12a^6b^8}$

Step-by-step explanation:

Length of Rectangle = $4a^4\: .\: b^5$

Width of Rectangle = $3a^2\: .\: b^3$

We need to find Area of Rectangle.

The formula used is: $Area\: of\: Rectangle=Length\times Width$

Putting values of length and width and finding area

$Area\: of\: Rectangle=Length\times Width\\Area\: of\: Rectangle=(4a^4 . b^5)\times (3a^2 \:.\: b^3)$

We will multiply constants with constants and same variables

$Area\: of\: Rectangle=(4)(3)a^4(a^2) b^5(b^3)\\Area\: of\: Rectangle=12a^{4+2}b^{5+3}\\Area\: of\: Rectangle=12a^6b^8$

So, The expression for area of rectangle is: $\mathbf{Area\: of\: Rectangle=12a^6b^8}$