Answered

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The perimeter of the rectangle below is units. Find the length of side .Write your answer without variables.

The Perimeter Of The Rectangle Below Is Units Find The Length Of Side Write Your Answer Without Variables class=

Sagot :

SOLUTION

From the question, the perimeter of the rectangle is 102 units, we want to find XY. Note that side XY = side WV, so XY = 4z.

But we need to find z. To do this we add all the sides and equate it to 102, we have

[tex]\begin{gathered} 2(3z+2)+2(4z)=102 \\ 6z+4+8z=102 \\ 6z+8z+4=102 \\ 14z=102-4 \\ 14z=98 \\ z=\frac{98}{14} \\ z=7 \end{gathered}[/tex]

So z is 7, and XY becomes

[tex]\begin{gathered} XY=4z \\ XY=4\times7 \\ =28 \end{gathered}[/tex]

Hence the answer is 28

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