Felipe has a flower bed with area 25/4 square feet. He expands the flower bed to have area 75/4 square feet. How many square feet of space does the larger flower bed have for every square foot of the smaller flower bed? Write your answer as a ratio (a:b) *

Respuesta :

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.