# The area of the rectangle is (4x-3) long, by (2x+5) wide, how do you find the area of the rectangle?

Mar 6, 2018

#### Answer:

$A = 8 {x}^{2} - 14 x - 15$

#### Explanation:

You cannot find a numerical value for the area, but you can find an algebraic expression to represent the area.

In a rectangle: $A = l \times b$

$A = \left(4 x - 3\right) \left(2 x + 5\right)$

$= 8 {x}^{2} + 20 x - 6 x - 15$

$= 8 {x}^{2} - 14 x - 15$

If at a later stage, extra information is given about the value of $x$, the actual area could be determined.