Answer :
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore,
length of rectangle (l) = 4x
Width of rectangle (w) = x
Perimeter of rectangle = 2 (4x + x)
[tex] \therefore \: 65 = 2 \times 5x \\ \\ \therefore \: 65 = 10x \\ \\ \therefore \:x = \frac{65}{10} \\ \\ \therefore \:x = 6.5 \: inches \\ \\ \therefore \:4x = 6.5 \times 4 = 26 \: inches \\ [/tex]
Thus,
Length of rectangle = 26 inches
Width of the rectangle = 6.5 inches