Area of the rectangle in standard form is [tex]x^2+12x+35[/tex]
Given :
A diagram that shows the polynomial that represents the length and width of a rectangle.
Area of the rectangle = length times width
Given length =[tex]x+7[/tex] and width [tex]=x+5[/tex]
Area =[tex]length * width[/tex]
Replace the length and width to find out the area
[tex]Area =(x+7)(x+5)\\[/tex]
Multiply the parenthesis
[tex]Area= x^2 +5x+7x+35\\Area=x^2+12x+35[/tex]
Area of the rectangle in standard form is [tex]x^2+12x+35[/tex]
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