Option A: [tex]2x^{2} +3x-20[/tex] is the area of the rectangle
Explanation:
Given that the length of the rectangle is [tex]2x-5[/tex]
The width of the rectangle is [tex]x+4[/tex]
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, we get,
[tex]Area=(2x-5)(x+4)[/tex]
Multiplying each term within the parenthesis, we get,
[tex]Area=2x^{2} +8x-5x-20[/tex]
Adding the like terms, we get,
[tex]Area=2x^{2} +3x-20[/tex]
Thus, the area of the rectangle is [tex]2x^{2} +3x-20[/tex]
Hence, Option A is the correct answer.
