Answer:
Let's denote the length of the rectangle as \( L \) and the breadth as \( B \).
The formula for the perimeter (\( P \)) of a rectangle is given by:
\[ P = 2L + 2B \]
Now, let's solve the problems:
(a) Given Perimeter = 600 m, Breadth = 250 m
\[ P = 2L + 2B \]
\[ 600 = 2L + 2 \times 250 \]
\[ 600 = 2L + 500 \]
\[ 2L = 600 - 500 \]
\[ 2L = 100 \]
\[ L = 50 \]
So, the length of the rectangle is 50 meters.
(b) Given Perimeter = 300 cm
\[ P = 2L + 2B \]
\[ 300 = 2L + 2B \]
The problem is incomplete. To find \( L \), we would need information about either the length or the breadth.
(c) Given Perimeter = 2200 m, Breadth = 0.8 km
First, convert the breadth to meters: \( 0.8 \, \text{km} \times 1000 \, \text{m/km} = 800 \, \text{m} \)
\[ P = 2L + 2B \]
\[ 2200 = 2L + 2 \times 800 \]
\[ 2200 = 2L + 1600 \]
\[ 2L = 2200 - 1600 \]
\[ 2L = 600 \]
\[ L = 300 \]
So, the length of the rectangle is 300 meters.
