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Question

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

Solution
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Perimeter of the rectangular sheet$$=100$$cm
$$\Rightarrow 2$$(length$$+$$breadth)$$=100$$cm
$$\Rightarrow 2(35+$$breadth$$)=100$$
$$\Rightarrow 35+$$breadth$$=\dfrac{100}{2}$$
$$\Rightarrow 35+$$breadth$$=50$$
$$\Rightarrow$$ breadth$$=50-35$$
$$\Rightarrow$$ breadth$$=15$$cm
Now, Area of rectangular sheet$$=$$length$$\times$$breadth
$$=35\times 15=525cm^2$$.
Thus, breadth and area of rectangular sheet are $$15$$cm and $$525cm^2$$ respectively.

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