The length and breadth of the rectangle are in a ratio $5:1$, and the breadth is $2\mathrm{cm}$. Find the area of the rectangle.

According to the given ratio, let the length of the rectangle be $5\mathrm{x} \mathrm{cm}$and the breadth be $\mathrm{x} \mathrm{cm}$.

Given, $\mathrm{x}=2$

So, length $= 10 \mathrm{cm}$

We know that the Area of a rectangle $= \mathrm{length} \times \mathrm{breadth}$

Therefore, the Area $= 20 \mathrm{cm}²$