Question

question paper द लेंथ ऑफ रैक्टेंगुलर फील्ड इज 30 मीटर महोदय डिस्क्राइब द पेरीमीटर सिक्स 40 मीटर फाइंड द लेंथ ऑफ द फील्ड ​

Answer 1

Correct Question :-

• The length of a rectangular field is 30 m more than its breadth. If the perimeter is 640 m. Find the length of the rectangular field.

Given :

• Length of the rectangular field is 30 m more than its breadth.
• Perimeter of the rectangular field = 640 m

To Find :

• The length of the rectangular field.

Solution :-

Let the breadth of the rectangular field be x m.

Then, its length = (x+30) m

We know that,

$\bigstar{\boxed{ \tt{Perimeter \: of \: rectangle = 2(length + breadth)}}} \bigstar$

According to Question,

$: \implies {\sf{Perimeter = 640}} \\ \\ : \implies {\sf {2[(x+30)+ x]= 640}} \\ \\ : \implies {\sf {2(x+30+ x)= 640}} \\ \\ : \implies {\sf {2(2x+30)= 640}} \\ \\ : \implies {\sf {4x+60= 640}} \\ \\: \implies {\sf {4x= 640 - 60}} \\ \\ \ : \implies {\sf {4x= 580}} \\ \\ : \implies {\sf {x= \frac{580}{4}}} \\ \\ : \implies { \boxed{\tt {x= 145}}}$

$\underline {\bf{\therefore{The \:length\: of\: the \:rectangular\: field \:is\:(145+30)\:m = 175\:m.}}}$