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Perimeter is 20cm. Can you find the missing side of the rectangle? Width is 6cm

Sagot :

The perimeter P of the rectagle is

[tex]P=2W+2H[/tex]

where W is the width and H the height.

By substituting the given values into the perimeter, we have

[tex]20=2\cdot6+2\cdot H[/tex]

which is equal to

[tex]20=12+2W[/tex]

and we need to isolate W. This can be obtained by moving +12 to the left hand side as -12. It yields,

[tex]\begin{gathered} 20-12=2W \\ 8=2W \end{gathered}[/tex]

and finally, W is given by

[tex]\begin{gathered} 2W=8 \\ W=\frac{8}{2} \\ W=4 \end{gathered}[/tex]

That is, each of the remaining sides measure 4 cm

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