waecmaths question:
The diagonal of a rhombus WXYZ intersect at M if and , calculate the perimeter
Option A:
42 cm
Option B:
48 cm
Option C:
52 cm
Option D:
60 cm
waecmaths solution:
$\begin{align} & \left| WX \right|=\sqrt{{{\left| MX \right|}^{2}}+{{\left| MW \right|}^{2}}}=\sqrt{{{12}^{2}}+{{5}^{2}}}cm \\ & \left| WX \right|=13cm \\ & \text{All sides of a Rhombus are equal} \\ & \text{Perimeter of the Rhombus }=\left| XW \right|+\left| WZ \right|+\left| ZY \right|+\left| YX \right| \\ & \text{Perimeter }=13cm+13cm+13cm+13cm=52cm \\\end{align}$
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