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  • The length and breadth of a rectangle breath exceeds by 7 cm.if the length is decreased by 4 cm and the breadth is increased by 3cm,the area of the new rectangle is the same as the original rectangle.find the length and the breadth of the rectangle?

The length and breadth of a rectangle breath exceeds by 7 cm.if the length is decreased by 4 cm and the breadth is increased by 3cm,the area of the new rectangle is the same as the original rectangle.find the length and the breadth of the rectangle?

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Let;the;breadth;of;the;rectangle;be;b;cm.\*so,;length;will;be;b+7;cm.\*Now,;breadth;is;increased;by;3;and;length;is;decreased;by;4\* Now,;new;dimensions;are;breadth=b+3;and;length=b+3\* Now;area;with;both;dimensions;is;same;so,\* Rightarrow b(b+7)=(b+3)(b+3)\* Rightarrow b^2+7b=b^2+9+6b\* Rightarrow b=9\* herefore length =b+7=16\* Hence,;breadth=9;cm;and;length=16;cm.

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Deependra Verma

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