Answer : option C, 5x2 + 32x − 21
In the rectangle, the length = 5x - 3 and width = x + 7
We know the formula for area of rectangle = length * width
Area of rectangle = (5x-3)(x+7)
WE multiply it using FOIL method
F - First terms, 5x * x = [tex] 5x^2 [/tex]
O- Outer terms, 5x * 7 = 35x
I - Inner terms, -3 * x= -3x
L - Last terms, -3 * 7 = -21
Now we add all the terms
[tex] 5x^2 +35x -3x -21 [/tex]
combine like terms
[tex] 5x^2 +32x -21 [/tex]
So area of a rectangle = [tex] 5x^2 +32x -21 [/tex]
