Gujarat BoardEnglish MediumSTD 9MathsConstructions4 Marks
Question
Construct a rectangle whose adjacent sides are of lengths $5\ cm$ and $3.5\ cm.$
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Answer
We know that, each angle of a rectangle is right angle (i.e., $90^{\circ}$ ) and its opposite sides are equal and parallel. To construct a rectangle whose adjacent sides are of lengths $5 cm$ and $3.5 cm$ , use the $1$ following steps.
1. Draw a line segment $B C$ of length $5 cm .$
2. Now, generate an angle of $90^{\circ}$ at points $B$ and $C$ of the line segment $B C$ and plot the parallel lines $B X$ and $C Y$ at these points. .
3. Cut $A B$ and $C D$ of length $3.5 \ cm$ from $B X$ and $C Y$, respectively.
4. Draw an angle $90^{\circ}$ at one of the point $A$ or $D$ and join both points by a line segment $A D$ of length $5 \ cm$ . Thus, $A B C D$ is the required rectangle with adjacent sides of length $5 \ cm$ and $3.5 \ cm$ .
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