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The perimeter of a rectangle is 44 meters and the length is 10 meters more than twice the width. Find the dimensions.18 meters and 4 meters6 meters and 9 meters5 meters and 9 meters6 meters and 16 meters

Sagot :

Given:

The perimeter of a rectangle is 44 meters.

The length is 10 meters more than twice the width.

Required:

To find the dimensions.

Explanation:

The perimetero of rectangle formula is

[tex]P=2(L+W)[/tex]

Let x be the width.

The length is 10 meters more than twice the width.

So

[tex]L=2x+10[/tex]

Now

[tex]\begin{gathered} P=2(2x+10+x) \\ \\ 44=4x+20+2x \\ \\ 44=6x+20 \\ \\ 6x=44-20 \\ \\ 6x=24 \\ \\ x=\frac{24}{6} \\ \\ x=4m \end{gathered}[/tex]

Here the width is 4m.

Now the length is

[tex]\begin{gathered} L=2(4)+10 \\ =8+10 \\ =18m \end{gathered}[/tex]

Final Answer:

18 meters and 4 meters.