# Q. 4.     The perimeter of a rectangular sheet is $100\; cm$. If the length is $35\; cm$, find its breadth. Also find the area.

It is given that  perimeter of a rectangular sheet is $100\; cm$ and length is $35\; cm$

Now, we know that

The perimeter of the rectangle is $=2(l+b)$

$\Rightarrow 100 = 2(l+b)$

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

$\Rightarrow 2b = 100-70$

$\Rightarrow 2 = \frac{30}{2}=15 \ cm$

Now,

Area of rectangle is

$\Rightarrow l \times b = 35 \times 15 = 525 \ cm^2$

Therefore, breath and area  of the rectangle are 15cm and $525 \ cm^2$ respectively

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