Question

Given :

Perimeter of Rectangle is 80 cm .

Length of Rectangle is 1 cm more than 2 times of the breadth .

To Find :

Length of Rectangle .

Solution :

\longmapsto\tt{Let\:Breadth\:be=x}⟼LetBreadthbe=x

As Given that length of Rectangle is 1 cm more tgan 2 times of the breadth . So ,

\longmapsto\tt{Length=2x+1}⟼Length=2x+1

Using Formula :

\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}⟼PerimeterofRectangle=2(l+b)​

Putting Values :

\longmapsto\tt{80=2(2x+1+x)}⟼80=2(2x+1+x)

\longmapsto\tt{\cancel\dfrac{80}{2}=3x+1}⟼280​​=3x+1

\longmapsto\tt{40=3x+1}⟼40=3x+1

\longmapsto\tt{40-1=3x}⟼40−1=3x

\longmapsto\tt{39=3x}⟼39=3x

\longmapsto\tt{x=\cancel\dfrac{39}{3}}⟼x=339​​

\longmapsto\tt\bf{x=13}⟼x=13

Value of x is 13 ..

Therefore :

\longmapsto\tt{Length\:of\:Rectangle=2(13)+1}⟼LengthofRectangle=2(13)+1

\longmapsto\tt{26+1}⟼26+1

\longmapsto\tt\bf{27\:cm}⟼27cm​

Answer 1

A perimeter is a path that encompasses/surrounds a two-dimensional shape. The term may be used either for the path, or its length—in one dimension. It can be thought of as the length of the outline of a shape. The perimeter of a circle or ellipse is called its circumference. Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden. The perimeter of a wheel/circle (its circumference) describes how far it will roll in one revolution. Similarly, the amount of string wound around a spool is related to the spool's perimeter; if the length of the string was exact, it would equal the perimeter.