The length and breadth of the rectangle are in the ratio of 5:3. If the Breadth = 6 cm then find the area of the rectangle.

Length and breadth are in the ratio of 5:3.

Let the length be 5x cm and breadth be 3x cm.

The breadth is given to be 6cm.

Therefore, $3\mathrm{x}=6$

 So, $\mathrm{x}=2$

Now, length can be calculated as, 

$=5 \times 2$

$= 10 \mathrm{cm}$

Now, Area of a rectangle is given by the formula $\mathrm{Length} \times \mathrm{Breadth}$

Hence, the Area $= 10 \times 6$

$= 60 \mathrm{cm}²$