Respuesta :
The area of the rectangle in standard form is [tex]x^{2} +9x+8[/tex]
Explanation:
Given that the length of the rectangle is [tex]x+1[/tex]
The width of the rectangle is [tex]x+8[/tex]
We need to determine the area of the rectangle.
The area of the rectangle can be determined using the formula,
[tex]Area= length \times width[/tex]
Substituting the values of length and width in the formula, we get,
[tex]Area= (x+1)(x+8)[/tex]
Multiplying the terms, we get,
[tex]Area=x^{2} +8x+x+8[/tex]
Adding the like terms, we have,
[tex]Area=x^{2} +9x+8[/tex]
Thus, the area of the rectangle in standard form is [tex]x^{2} +9x+8[/tex]