The area of a rectangle is \( 54^{2} \mathrm{~cm} \). If the breath of rectangle is 6 cm . find its Perimeter.
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To find the perimeter of the rectangle, first, we need to determine its length. The area of a rectangle is calculated by multiplying its length by its breadth, so we have: \[ \text{Area} = \text{Length} \times \text{Breadth} \] Given the area is \(54 \, \text{cm}^2\) and the breadth is \(6 \, \text{cm}\): \[ 54 = \text{Length} \times 6 \] Now, divide both sides by \(6\): \[ \text{Length} = \frac{54}{6} = 9 \, \text{cm} \] Now that we have both the length and the breadth, we can find the perimeter using the formula: \[ \text{Perimeter} = 2 \times (\text{Length} + \text{Breadth}) = 2 \times (9 + 6) = 2 \times 15 = 30 \, \text{cm} \] So, the perimeter of the rectangle is \(30 \, \text{cm}\). Remember, a rectangle is a shape where opposite sides are equal, so it’s super easy to visualize and compute dimensions like this! Plus, knowing how to calculate the perimeter opens the door to solving many real-life problems, like finding out how much fencing you’ll need for your garden!