Answer :
The resulting area is [tex]28x^2 + x - 15.[/tex]
To find the area of a parallelogram, we use the formula A = bh, where b is the base and h is the height.
If the base is given as 4[tex]x[/tex] + 3 and the height is given as 7[tex]x[/tex] - 5, we can calculate the area by multiplying these expressions:
A = [tex](4x + 3)(7x - 5)[/tex]
Using the distributive property, we expand this product:
- A = [tex]4x(7x) + 4x(-5) + 3(7x) + 3(-5)[/tex]
- A = [tex]28x^2 - 20x + 21x - 15[/tex]
- A = [tex]28x^2 + x - 15[/tex]
Therefore, the area of the parallelogram is given by the expression [tex]28x^2 + x - 15.[/tex]
