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

Question

n200080 [17]

3 years ago

15

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

re units.

Mathematics

1 answer:

SashulF [63] · Answer 1 · 2021-11-23T05:27:51+03:00

SashulF [63]3 years ago

4 0

Answer:

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

Step-by-step explanation:

Area of rectangle = Product of sides

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