Question

The area of a square Park is same as the area of rectangular Park if the side of a square Park is 14 and the length of a rectangular Park is 64 find the breadth of a rectangular Park also find the perimeter of rectangular Park... with explanation too

Answer 1

Step-by-step explanation:

Given that ,

Area of a square park = Area of a rectangular park.

The measure of one side of square park = 14m

Area of square park = ( 14 × 14 ) m² = 196 m²

Length of rectangular park = 64 m

The area of rectangular park also should be 196m , because it's area is equal to the area of square of the park .

Length × Breadth = 196

==> 64 × breadth = 196

==> breadth = 196 / 64

==> breadth = 3.1 ( approx )

==> Breadth of rectangular park = 3.1 m

Now ,

Perimeter of square = 4 × side

= 4 × 14

= 56 m

also ,

Perimeter of rectangle = 2 ( l + b )

= 2 ( 64 + 3.1 )

= 2 ( 67.1 )

= 134.2 m

Answer 2

Answer:

$\huge {\purple {\fbox {\bigstar {\mathfrak {\red {hello\:mate}}}}}}$

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$\huge {\purple {\fbox {\bigstar {\mathfrak {\red {ur\: question}}}}}}$

$\huge {\mathfrak {\purple {Q.}}}}$The area of a square park is same as the area of a rectangular park is 64 m, find the breadth of the rectangular park. Also, find the perimeter of the rectangular park

note:-the question given is incorrect

correct question:-ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ sϙᴜᴀʀᴇ ᴘᴀʀᴋ ɪs sᴀᴍᴇ ᴀs ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘᴀʀᴋ ɪғ ᴛʜᴇ sɪᴅᴇ ᴏғ ᴀ sϙᴜᴀʀᴇ ᴘᴀʀᴋ ɪs 14 ᴀɴᴅ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘᴀʀᴋ ɪs 64 ғɪɴᴅ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘᴀʀᴋ ᴀʟsᴏ ғɪɴᴅ ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ᴘᴀʀᴋ.

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$\huge {\purple {\fbox {\bigstar {\mathfrak {\red {ur\: ANSWER✓}}}}}}$

$\huge\mathfrak\red{given,}$

$\huge\star\:\:\bf\undeline\red{diagram}$

Rectangle

$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,25){\line(1,0){35}}\put(0,0){\line(1,0){35}}\put(0,0){\line(0,1){25}}\put(35,0){\line(0,1){25}}\put(17,-2){?}\put(18,-2){}\put(35,15){64m}\put(18,0){ }\end{picture}$

square

$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,35){\line(1,0){35}}\put(0,0){\line(1,0){35}}\put(0,0){\line(0,1){35}}\put(35,0){\line(0,1){35}}\put(17,-2){14m}\put(18,-2){}\put(35,15){14m}\put(18,0){ }\end{picture}$

.$\red{\text{Area \:of\: a\: square\: park \:= Area \:of \:a \:rectangular \:park\:}}$

$\pink{\text{The \:measure\: of \:one \:side \:of\: square\: park \:= 14m}}$

$\tt\implies Area \:of\: square \:park\: = ( 14 × 14 ) m^2 = 196 m^2$

$\red{\text{Length \:of \:rectangular\: park \:= 64 m}}$

$\red{\text{The\: area \:of \:rectangular\: park\: }}$ .

$\red{\text{also\: should\: be \:196m \:, because\: it's\: area\: is \:equal \:to \:the \:area \:of \:square\: of \:the \:park}}$

$\sf Length × Breadth = 196$

$\tt\implies 64 × breadth = 196$

$\tt\implies breadth = \frac{196}{64}$

$\tt\implies breadth = 3.1 ( approx )$

$\tt\implies Breadth\: of\: rectangular\: park \:= 3.1 m$

$\sf\mathfrak\red{Now,}$

$\red{\text{Perimeter of square = 4 × side}}$

$\tt\implies 4 × 14$

$\tt\implies = 56 m$

$\sf{\pink{\fbox{\black{\bigstar{\mathbf{\red{perimeter\:=56m}}}}}}}$

$\red{\text{also}}$

$\sf\red{\text{Perimeter \:of \:rectangle = 2 ( l + b ) }}$

$\tt\implies 2 ( 64 + 3.1 )$

$\tt\implies 2 ( 67.1 )$

$\tt\implies 134.2 m$

$\sf{\blue{\fbox{\purple{\bigstar{\mathbf{\red{perimeter\:134.2m}}}}}}}$

$\huge\green{\text{GIVEN}}$

$\pruple{\text{Area \:of \:a \:square\: park\: = Area \:of \:a \:rectangular\: park.}}$

$\blue{\text{The\: measure\: of \:one\: side \:of \:square\: park\: = 14m}}$

$\pink{\text{Area \:of \:square\: park \:= ( 14 × 14 ) m^2 = 196 m^2 }}$

$\tt\implies Length\: of \:rectangular\: park \:= 64 m$

$\red{\text{The\: area\: of \:rectangular \:park\: also}}$

$\red{\text{should \:be\: 196m ,\: because \:it's\: area \:is\: equal\: to\: the \:area \:of \:square\: of \:the\: park .}}$

$\sf Length × Breadth = 196$

$\tt\implies 64 × breadth = 196$

$\tt\implies breadth = \frac{196}{64}$

$\tt\implies breadth = 3.1 ( approx )$

$\tt\implies Breadth\: of\: rectangular\: park\: = 3.1 m$

$\sf{\blue{\fbox{\purple{\bigstar{\mathbf{\red{breadth=3.1m}}}}}}}$

$\tt\red{\text{now,}}$

$\tt\implies 4 × 14$

$\tt\implies 56 m$

$\tt\red{\text{also}}$

$\sf\green{\text{Perimeter \:of\: rectangle\: = 2 ( l + b )}}$

$\tt\implies 2 ( 64 + 3.1 )$

$\tt\implies 2×( 67.1 )$

$\tt\implies 134.2 m$

$\sf{\blue{\fbox{\purple{\bigstar{\mathbf{\red{perimeter\:of \:rectangle\:134.2m}}}}}}}$

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$\huge\mathfrak\red{hope\:it\:helps\:you}$