Answer:
The expression for area of rectangle is: [tex]\mathbf{Area\: of\: Rectangle=12a^6b^8}[/tex]
Step-by-step explanation:
Length of Rectangle = [tex]4a^4\: .\: b^5[/tex]
Width of Rectangle = [tex]3a^2\: .\: b^3[/tex]
We need to find Area of Rectangle.
The formula used is: [tex]Area\: of\: Rectangle=Length\times Width[/tex]
Putting values of length and width and finding area
[tex]Area\: of\: Rectangle=Length\times Width\\Area\: of\: Rectangle=(4a^4 . b^5)\times (3a^2 \:.\: b^3)[/tex]
We will multiply constants with constants and same variables
[tex]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[/tex]
So, The expression for area of rectangle is: [tex]\mathbf{Area\: of\: Rectangle=12a^6b^8}[/tex]
