Answer: Area of rectangle =2x² + 21x + 27
Step-by-step explanation:
Given :
Length of the rectangle = x + 9
Width of the rectangle = 2x + 3
We have to find area of the rectangle ?
Area of rectangle = Length × Breadth
Area of the rectangle = [tex](x +9) \times (2x+3)[/tex]
Area = [tex]x \times (2x+3) + 9 \times ( 2x+3)[/tex]
Area =2[tex]x^{2}[/tex] + [tex]3\times x[/tex] + [tex]9\times 2x[/tex] + [tex]9\times 3[/tex]
Area =[tex]2x^{2}[/tex] + [tex]3x[/tex] + [tex]18x[/tex] + [tex]27[/tex]
Area =[tex]2x^{2} + 21x + 27[/tex]
∴ Area of rectangle = [tex]2x^{2} +21x+ 27[/tex]
