Answer:
Step-by-step explanation:
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
[tex]\frac{l}{b}= \frac{1}{2}[/tex]
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, Scale factor = [tex]\frac{25}{l}=\frac{25}{2}[/tex]
l = 2 cm
Similarly,
[tex]\frac{50}{w}=\frac{25}{2}[/tex]
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
