Question

The perimeter of a rectangular playground is 256 meters and its length is 74 meters.what is its area?

Answer 1

$\boxed{\huge{\bf{\star{AnswEr\:-:}}}}$

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☆ Area of Rectangular playground-: 128 m² [ approx]

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$\large{\bf{\star{Formulas \:Related \:to\:the\:question.......}}}$

☆ Perimeter of Rectangle -:

" P = 2(l + b) "

☆ Area of Rectangle-:

" A = l x b"

Here,

A = Area

P = Perimeter

l = length

b = breadth

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$\large{\bf{\star{Given\:-:}}}$

• Perimeter of Rectangular playground -: 256 m

• Length of Rectangular playground -: 74 m

$\large{\bf{\star{To\:Find\:-:}}}$

• Area of Rectangular playground.

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$\large{\bf{\star{Solution\:-:}}}$

• ☆ Perimeter of Rectangle -:

" P = 2(l + b) "

Here,

P = Perimeter = 256 m

l = length = 74 m

b = breadth = ??

》 2 (74 + b ) = 256

》 74 + b = $\frac{256}{2}$

》 74 + b = 128

》 b = 128 ÷ 74

》 b = 1.73 m

Therefore,

☆ Breadth of Rectangular playground-: 1.73 m [approx]

☆ Area of Rectangle-:

" A = l x b"

Here,

A = Area = ??

l = length = 74

b = breadth = 1.73

》 $\sf{74\times1.74}$

》 128 m²

$\large{\bf{\star{Hence\:-:}}}$

☆ Area of Rectangular playground-: 128 m² [ approx ]

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$\large{\bf{\star{Let's\:explore............\:-:}}}$

☆ Perimeter of Rectangle -:

" P = 2(l + b) "

☆ Area of Rectangle-:

" A = l x b"

☆ Perimeter of Square-:

$\sf{P=4\times S}$

☆ Area of Square-:

$\sf{A=S\times S}$

Here,

A = Area

P = Perimeter

l = length

b = breadth

s = length of side

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