Construction of Polygons (Using ruler and compass only) — MATHEMATICS STD 9 — Question
ICSE BoardEnglish MediumSTD 9MATHEMATICSConstruction of Polygons (Using ruler and compass only)5 Marks
Question
Construct a rectangle $\text{ABCD}$, when:Area $= 36 \ cm^2$ and height $= 4.5 \ cm$.
✓
Answer
Given that the height $=4.5 \ cm$ and Area $=36 \ cm ^2$
We know that the area of rectangle $=$ base $\times$ Height
Therefore,
$36=$ base $\times 4.5$
Base $=8 \ cm$
With height $=4.5$ and base $=8 \ cm$,
the rectangle is shown below:
Steps:
$1$. Draw base $A B=8 \ cm$.
$2$. With $A$ and $B$ as a center draw arc taking radius $=4.5 \ cm$ at $D$ and $C$
$3$. Now join $AD , BC$, and $DC$.
$\text{ABCD}$ is the required rectangle.
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