# The perimeter of a rectangular sheet is $100\ cm$. If the length is $35\ cm$, find its breadth. Also find the area.

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Given: The perimeter of a rectangular sheet is $100\ cm$. If the length is $35\ cm$.

To do: To find its breadth and the area.

Solution: As given here, the perimeter of a rectangular $S=100\ cm$

Length of the rectangular sheet $l=35\ cm$

Let "$b$" is the breadth of the rectangular sheet.

We know that, $S=2(l+b)$

$100\ cm=2(35\ cm+b)$

$\Rightarrow 100=70+2b$

$\Rightarrow 100-70=2b$

$\Rightarrow 30=2b$

$\Rightarrow b=\frac{30}{2}$

$\Rightarrow b=15\ cm$

So, the area of the rectangular sheet $A=l\times b$

$=35\times 15$

$=525\ cm^2$

Therefore, the breadth of the rectangular sheet is $15\ cm$ and the area of the rectangular sheet is $525\ cm^2$.

Updated on 10-Oct-2022 13:35:52