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# The breadth of the rectangle is $\frac{3}{4}$th of its length and the perimeter of rectangle is 140 cm. Find the length and breadth of the rectangle.

**Given:** The breadth of the rectangle is $\frac{3}{4}$th of its length and the perimeter of rectangle is 140 cm

**To do: **Find the length and breadth of the rectangle.

**Solution:**

Let the length of the rectangle be $y$

The breadth of the rectangle would be $\frac{3y}{4}$

Perimeter of rectangle = $2(l + b) = 2(y + \frac{3y}{4}) = 2 \times \frac{7y}{4}$ = 140 cm

So, $y = 140 \times \frac{2}{7} = 40 cm$; $\frac{3y}{4} = \frac{3}{4} \times 40$ = 30 cm

**So length of rectangle = 40 cm and breadth of rectangle = 30 cm **

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