Question

In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in square units.​

Answer 1

`(6 {x}^(2) - 7x - 5) \: {units}^(2)`

Explanation:

Area of rectangle = Product of sides

`= (2x + 1) * (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^(2) - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^(2) - 7x - 5) \: {units}^(2)`