Question

Two plots of land have same perimeter one of the square side 60m while other is rectangle whose breadth is 1.5 m which plot has greater area

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge\mathsf{Hoy \ !!}$
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Two lands of shape : Square and Rectangle

Now,

$\mathsf{\underline{ \ Square \ }}$

Side = 60 m

Perimeter = 4 ( Side ) = 4 ( 60 ) = 240 m

$\mathsf{\underline{ \ Rectangle \ }}$

Breadth = 1.5 m

Perimeter = 2 ( Length + Breadth ) = 2 ( Length + 1.5 )

Now,

It is given that the perimeter of both the lands are same.

$\therefore$

240 = 2 ( Length + 1.5 )

Length + 1.5 = $\mathsf{\dfrac{240}{2}}$

Length + 1.5 = 120

Length = 120 - 1.5

Length = 118.5 m

Now,

$\large\mathsf{\underline{ \ Area \ of \ Square \ }}$

= ( Side )²

= ( 60 )²

= 3600 m²

$\large\mathsf{\underline{ \ Area \ of \ Rectangle \ }}$

= Length × Breath

= ( 1.5 ) × ( 118.5 )

= 177.3 m²

From the above calculated data, we arrive at the result that :

$\large\mathsf\red{Area \ of \ Square \ is \ greater.}$

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