Question

The perimeter of a rectangular sheet is $100\mathrm{cm}$.

If the length is $35\mathrm{cm}$, find its breadth. Also, find the area.

Answer 1

Step 1. Calculate the breadth of the rectangle.

Let us consider that length and breadth of the rectangles are $l$ and $b$respectively.

$$\begin{gathered} \mathrm{Perimeter}=100 \\ \Rightarrow 2(l+b)=100 \\ \Rightarrow l+b=50 \\ \Rightarrow 35+b=50\left[\because l=35\mathrm{cm}\right] \\ \Rightarrow b=50-35 \\ \Rightarrow b=15\mathrm{cm} \end{gathered}$$

Thus, the breadth of the rectangle is $15\mathrm{cm}$.

Step 2. Calculate the area of the rectangle.

$$\begin{gathered} \mathrm{Area}=l\times b \\ \Rightarrow =35\times 15 \\ \Rightarrow =525{\mathrm{cm}}^2 \end{gathered}$$

Hence, the breadth is $15\mathrm{cm}$ and the area of the rectangle is $525{\mathrm{cm}}^2$.