The perimeter of a rectangular sheet is $100\ cm$. If the length is $35\ cm$, find its breadth. Also find the area.
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 $525\ cm^2$.
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