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Question
The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.
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Solution
\[\text{ Let the side be x cm and y cm } . \]
\[\text{ So, we have }: \]
\[ 2\left( x + y \right) = 20 \]
\[\text{ Sides are in the ratio 2: 3 } . \]
\[ \therefore y = \frac{3x}{2}\]
\[\text{ Putting the value of y }: \]
\[2\left( x + \frac{3x}{2} \right) = 20 \]
\[\frac{2x + 3x}{2} = 10\]
\[5x = 20\]
\[x = 4\]
\[ \therefore y = \frac{3 \times 4}{2} = 6\]
\[\text{ Thus, sides of the rectangle will be 4 cm and 6 cm } . \]
\[\text{ ABCD is the rectangle having sides 4 cm and 6 cm } .\]
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