Question

find the area. simplify your answer. 2x - 5 2x - 7

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l = 2x - 5$ and $w=2x - 7$.

Step2: Multiply the length and width

$A=(2x - 5)(2x - 7)$
Using the FOIL method:
\[

$$\begin{align*} A&=(2x\times2x)+(2x\times(- 7))+(-5\times2x)+(-5\times(-7))\\ &=4x^{2}-14x-10x + 35\\ &=4x^{2}-24x + 35 \end{align*}$$

\]

Answer:

$4x^{2}-24x + 35$