Question

guys i need help this is my first question. Write a simplified expression for the area of a rectangle with a length of (-3x – 4) and a width of (-9). Remember. Area = length x width type your answer... type your answer...

Answer 1

In order to find a simplified expression for the area of the rectangle, we just need to multiply the expressions of the length and width. So we have that:

$\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ \text{length}=(-3x-4) \\ \text{width}=(-9) \\ \\ \text{Area}=(-3x-4)(-9)_{} \end{gathered}$

Then, using the distributive property, we can expand the product:

$\begin{gathered} \text{Area}=(-3x)(-9)+(-4)(-9) \\ \text{Area}=27x+36 \end{gathered}$

So the simplified expression for the area is 27x + 36