Question

Could you please help me with problem ? It’s in my grandson’s homework. Thank you.

Answer 1

Given:

The length of the top diagram is 60 units.

Required:

The length of the bottom diagram.

Step-by-step explanation:

Now the first diagram has two parts 80% and 20%, and the 20% further gives us the second diagram.

So to know the length of second diagram we need to find the 20% of first diagram.

so we need to calculate 20% of 60, that is

`x=60*20\%=60*(20)/(100)=12units`

So the length of second diagram is 12 units.

Now the second diagram has two parts 60% and 40%, and the 60% further gives us the third diagram.

So to know the length of third diagram we need to find the 60% of second diagram.

so we need to calculate 60% of 12, that is

`x=12*60\%=12*(60)/(100)=(72)/(10)=7.2units`

So the length of third diagram is 7.2 units.

Now the third diagram has two parts 30% and 70%, and the 70% further gives us the fourth diagram.

So to know the length of the fourth diagram we need to find the 70% of the third diagram.

So we need to calculate 70% of 7.2, that is

`x=7.2*70\%=7.2*(70)/(100)=(50.4)/(10)=5.04units`

So the length of fourth diagram is 5.04 units

Final Answer:

The length of the bottom diagram, that is the fourth diagram, is 5.04 units.