Question

ғɪɴᴅ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ ʀᴇᴄᴛᴀɴɢʟᴇ ɪғ ɪᴛ's ᴘᴇʀɪᴍᴇᴛᴇʀ ɪs 164ᴄᴍ,ᴡʜᴇʀᴇ ɪᴛ's ʟᴇɴɢᴛʜ ɪs 16ᴄᴍ​

Answer 1

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow perimeter\:of\:rectangle\:is\:164cm.$

$\sf\dashrightarrow length(L)= 16cm$

$\large\underline\bold{TO\:FIND ,}$

$\sf\dashrightarrow AREA\:OF\:RECTANGLE$

✯ FOMULA IN USE,

$\large{\boxed{\bf{ \star\:\: PERIMETER\:OF\:RECTANGLE:- 2 \times (LENGTH+BREADTH) \:\: \star}}}$

$\large\underline\bold{AREA\:OF\:RECTANGLE\:=LENGTH \times \: BREADTH}$

$\large\underline\bold{SOLUTION,}$

$\sf\dashrightarrow LENGTH(L)=16cm$

$\sf\dashrightarrow BREADTH (B)= ?$

FIRST FINDING THE BREADTH,

THEREFORE,

$\sf\therefore PERIMETER\:OF\:RECTANGLE:- 2 \times (LENGTH+BREADTH)$

$\sf\implies 164=2\times (16+b)$

$\sf\implies \dfrac{164}{2} = 16+b$

$\sf\implies \cancel \dfrac{164}{2} = 16+b$

$\sf\implies 82= 16+b$

$\sf\implies 82-16=b$

$\sf\implies 66cm$

$\large{\boxed{\bf{ \star\:\: breadth= 66cm\:\: \star}}}$

NOW,

$\sf\dashrightarrow LENGTH(L)=16cmcm$

$\sf\dashrightarrow BREADTH (B)= 66cm$

$\sf\therefore AREA\:OF\:RECTANGLE\:=LENGTH \times \: BREADTH$

$\sf\implies 16 \times 66$

$\sf\implies 1056cm^2$

$\large{\boxed{\bf{ \star\:\:area\:of\:rectangle= 1056cm^2\:\: \star}}}$

$\large\underline\bold{AREA\:OF\:RECTANGLE= 1056cm^2}$

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✯REFER THE DIAGRAM,

$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,25){\line(1,0){35}}\put(0,0){\line(1,0){35}}\put(0,0){\line(0,1){25}}\put(35,0){\line(0,1){25}}\put(17,-2){66cm}\put(18,-2){}\put(35,15){16cm}\put(18,0){ }\end{picture}$

Answer 2

Given :

• ᴘerimeter of rectangle = 164 cm
• Length of rectangle = 16 cm

To find :

• Area of rectangle

Formula used :

• ᴘerimeter of rectangle = 2( l + b)

• area of rectangle = l × b

Where :-

• l = Length
• b = breadth

Solution :

ᴘerimeter of rectangle ( P) = 2( l + b)

To find b , put :-

• l = 16 cm
• p = 164 cm

⟹ P= 2( l + b)

⟹164= 2( 16+ b)

⟹(164/2) = ( 16+ b)

⟹ 82 = 16+ b

⟹ 82 - 16 = b

⟹ 66 cm = b

therefore , breadth = 66 cm

Now we will find area of rectangle :-

⟹ area of rectangle = l × b

⟹ area of rectangle = 16 × 66

⟹ area of rectangle = 1056 cm²

ANSWER :

area of rectangle = 1056 cm²

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Learn more :-

• Area of square = a²

• Area of Rhombus = 1/2 × diagonal 1 × diagonal 2

• Area of circle = π r²

Perimeter = sum of all sides

• perimeter/ circumference of circle = 2πr

• perimeter of square = 4a

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