The moats separating people from the animals are 5 m wide for lions and 4 m wide for the elephants. If the lion’s moat is 4 m deep, how deep should the elephants’ moat be?

Respuesta :

Answer:

The elephants' moat should be 3.2 meters deep.

Step-by-step explanation:

Suppose, the depth of the elephants' moat is  [tex]x[/tex] meter.

Width of the lions' moat is 5 meter and width of the elephants' moat is 4 meter.

Given that, the lion’s moat is 4 meter deep.

So, according to the ratio of width and depth, the equation will be.......

[tex]\frac{5}{4}=\frac{4}{x}\\ \\ 5x=4*4\\ \\ 5x=16\\ \\ x=\frac{16}{5}=3.2[/tex]

Thus, the elephants' moat should be 3.2 meters deep.