Question

The length of the rectangular field exceeds its breadth by 25 meters. If the perimeter is 154 meters, then find its length and breadth.
pls answer
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Answer 1

Given :

• Length of Rectangular field exceeds its breadth by 25 m.
• Perimeter of Rectangular field is 154m.

To Find :

• Length and Breadth of Rectangular Field.

Solution :

$\longmapsto\tt{Let\:Breadth=x}$

As Given that Length of the field exceeds its breadth by 25 metres .So ,

$\longmapsto\tt{Length=x+25}$

Using Formula :

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

Putting Values :

$\longmapsto\tt{154=2(25+x+x)}$

$\longmapsto\tt{\cancel\dfrac{154}{2}=2x+25}$

$\longmapsto\tt{77-25=2x}$

$\longmapsto\tt{52=2x}$

$\longmapsto\tt{x=\cancel\dfrac{52}{2}}$

$\longmapsto\tt\bold{x=26}$

Value of x is 26...

Therefore :

$\longmapsto\tt{Length\:of\:Field=26+25}$

$\longmapsto\tt\bold{51m}$

$\longmapsto\tt\bold{Breadth\:of\:Field=26m}$