Question

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

Answer 1

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

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

So z is 7, and XY becomes

$\begin{gathered} XY=4z \\ XY=4\times7 \\ =28 \end{gathered}$

Hence the answer is 28