Question

81SXQHद इंडियन ओसेन सुनामी 2004 एरियाज अफेक्टेड पार्ट्स ऑफ़ साउदर्न इंडियन एंड अंडमान निकोबार आइलैंड ​

Answer 1

Answer:

Answer:

Correct Question:-

✯ The length of a rectangular field is 8 meter less than twice breadth . If the perimeter of rectangular field is 56 meters, find its length and breadth?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:-

$\pink{\bigstar}$ The parameters of the rectangular field are,

Length $\large\leadsto\boxed{\tt\purple{16 \: m}}$

Breadth $\large\leadsto\boxed{\tt\purple{12 \: m}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

Length of rectangular field is 8 meter less than twice breadth.

Perimeter of rectangular field is 56 metres.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• To Find:-

Length and breadth of the rectangular field.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Figure:-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 2x-8 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large x m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Solution:-

Let the breadth of the rectangular field be 'x' .

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• According to the question:-

✯ The length of the rectangular field is 8 meter less than twice the breadth.

Hence,

✯ $\large{\bf\pink{2x - 8}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Now, we know

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Perimeter_{(rectangle)} = 2(l + b)}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Substituting in the Formula:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 56 = 2(2x - 8 + x)$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 56 = 2(3x - 8)$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 56 = 6x - 16$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 6x = 56 + 16$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 6x = 72$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x = \dfrac{72}{6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\underline{\underline{\bf\red{ x = 12 \: m}}}}\dashrightarrow\bf\blue{[Breadth]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Now, length of the rectangular field:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 2x - 8$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 2 \times 12 - 8$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 24 - 8$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\underline{\underline{\bf\red{ 16 \: m}}}}\dashrightarrow\bf\blue{[Length]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the length and breadth of the rectangular field are 16 meter and 12 meter respectively.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

✯ Note:- Kindly, view the Answer from the website.