Question

दी पेरिमीटर ऑफ़ रेक्टेंगल इस 72 सेंटीमीटर इन लेंथ इस 3 टाइम्स विद फाइंड द एरिया ऑफ रेक्टेंगल ​

Answer 1

Answer:

Given :-

• Perimeter of rectangle = 72 cm
• Length is 3 times of its breadth

To Find :-

Area of rectangle

Solution :-

Let the breadth be x

As we know that

$\huge \mathfrak{Perimeter = 2(l + b)}$

$\tt \mapsto72 = 2(3x + x)$

$\tt \mapsto \: 72 = 6x + 2x$

$\tt \mapsto \: 72 = 8x$

$\tt \mapsto \: x = \dfrac{72}{8}$

$\tt \mapsto \: x = 8$

Now,

Let's find Length

$\tt \implies \: length \: = 3x = 3(8) = 24$

Now,

Let's find Area of rectangle

As we know that

$\huge \mathfrak{Area = l \times b}$

$\tt \mapsto \: Area \: = 24 \times 8$

$\tt \mapsto \: Area = 192 cm$

Answer 2

Given :-

• Perimeter of rectangle = 72cm

• Length = 3 times breadth.

To Find :-

• Area of rectangle.

Solution :-

Let,

• Breadth = x

• Lenght = 3x

Formula used :

$\sf{Perimeter = 2(l + b)}$

Values :

$\dashrightarrow\sf{72 = 2(3x + x)}$

$\dashrightarrow\sf{72 = 6x + 2x}$

$\dashrightarrow\sf{72 = 8x}$

$\dashrightarrow\sf{x = \frac{72}{8} }$

$\dashrightarrow\underline{\boxed{\textsf{\textbf\red{x = 9}}}}$

Therefore, x = 9

• Breadth = x = 9.

• Length = 3x = 9 × 3 = 27.

Now, We have to find Area of rectangle.

Formula used :

$\dashrightarrow\sf{L \times B}$

Values :

$\dashrightarrow\sf{27 \times 9}$

$\dashrightarrow\underline{\boxed{\textsf{\textbf{\red{243}}}}}$

Therefore, Area of rectangle = 243