1 Answer

PsychoFish · Answer 1 · 2023-09-19T17:42:56+0000

From the given diagram we get that:

Subtracting 4x from the above equation we get:

$\begin{gathered} 4x+2-4x=10x-1-4x, \\ 2=6x-1. \end{gathered}$

Adding 1 to the above equation we get:

$\begin{gathered} 2+1=6x-1+1, \\ 3=6x\text{.} \end{gathered}$

Dividing the above equation by 6 we get:

$\begin{gathered} (3)/(6)=(6x)/(6), \\ x=(1)/(2)\text{.} \end{gathered}$

Therefore, the length of the given rectangle is:

$10\cdot(1)/(2)-1=5-1=4\operatorname{cm}\text{.}$

Now, since the area of a rectangle is the length times the width, we can set the following equation:

$width*4\operatorname{cm}=20cm^2\text{.}$

Dividing the above result by 4cm we get:

$\text{width}=5cm\text{.}$

Answer: The width of the given rectangle is 5cm.

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