Question

Draw a diagram that shows how the expression can represent the area of a figure. Then simplify the expression.

$(4+1)(x+2x)$

Answer 1

Hint: The area of rectangle = length $\times$ width

Step 1: Now as shown in figure:

if we let one side of figure as = $(4+1)$

The other side of that figure as = $\left(x+2x\right)$

Now as we know
The area of rectangle = length $\times$ width
$=(4+1)(x+2x)$
So here it is representing the area of
Step 2: Simplification of that expression

$$\begin{gathered} (4+1)(x+2x)=5\left(3x\right)\{Combineliketerms\} \\ =15x\left\{Multiply\right\} \end{gathered}$$

So, area is $(25+5x)$