Answer: Required ratio= 3:1.
larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Step-by-step explanation:
Given: Felipe has a flower bed with area [tex]\dfrac{25}4[/tex] square feet.
He expands the flower bed to have area [tex]\dfrac{75}4[/tex] square feet.
Now, area on larger flower bed for every square foot of the smaller flower bed = (area of larger bed) ÷ (area of smaller bed)
[tex]= \dfrac{75}{4}\div\dfrac{25}{4}=\dfrac{75}{4}\times\dfrac{4}{25}=\dfrac{3}{1}[/tex]
So, larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Required ratio= 3:1.