Constructions of Quadrilaterals — MATHEMATICS STD 9 — Question
ICSE BoardEnglish MediumSTD 9MATHEMATICSConstructions of Quadrilaterals5 Marks
Question
Construct a square with perimeter $= 18\ cm.$
✓
Answer
Sides of square are equal.
$ \Rightarrow$ Perimeter$=4 \times$ side
$\Rightarrow$ Side
$=\frac{\text { perimeter }}{4}$
$=\frac{18}{4}$
$=4.5 \ cm $
Steps of construction:
$1) D$ raw $P Q=4.5 \ cm$.
$2)$ Construct $\angle PQT =90^{\circ}$ at $Q$
$3)$ From $Q T$ cut off $Q R=4.5 \ cm$.
$4)$ From $P$ and $R$, draw two acrs of radii $4.5 \ cm$ each to cut each other at $S$.
$5)$ Join $PS$ and $RS.$
$6)\text{PQRS}$ is the required square.
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