Answer:

Option 3rd is correct

4: 3

Step-by-step explanation:

Perimeter(P) of rectangle is given by:

P =2(l+w)

where, l is the length and w is the width of the rectangle respectively.

Given that:

The dimensions of a smaller rectangle are 3 ft. by 9 ft.

Perimeter of smaller rectangle= 2(3+9) =2(12) = 24 ft.

It is also given that: The dimensions of a larger rectangle are 5 ft. by 11 ft.

Perimeter of Larger rectangle = 2(5+11) =2(16) = 32 ft.

We have to find  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.

frac{text{Perimeter of the larger rectangle}}{text{Perimeter of the Smaller rectangle}}

Substitute the given values we have;’

frac{32}{24}=frac{4}{3}

Therefore,  the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle is, 4 : 3