Answer:
<em>The container can hold 280 liters of water.</em>
Step-by-step explanation:
<u>Proportions</u>
The water originally fills 1/8 of a container. Then 35 lt of water are poured into the container and now it's 1/4 full.
If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.
If 35 liters of water is 1/8 of the tank, then it can hold 35*8 = 280 liters.
The container can hold 280 liters of water.
Let
x------> the length of the rectangle
y------> the width of the rectangle
we know that
The area of a rectangle is equal to
so
--------> equation 1
let's assume different values of x to get the different values of y
<u>case 1)</u> For x=64 units
substitute in the equation 1
the dimensions of the rectangle are 64 units x 1 unit
see the draw in the attached figure N 1
<u>case 2)</u> For x=32 units
substitute in the equation 1
the dimensions of the rectangle are 32 units x 2 units
see the draw in the attached figure N 2
<u>case 3)</u> For x=16 units
substitute in the equation 1
the dimensions of the rectangle are 16 units x 4 units
see the draw in the attached figure N 3
<u>case 4)</u> For x=30 units
substitute in the equation 1
the dimensions of the rectangle are 30 units x 2 (2/15) units
see the draw in the attached figure N 4
<u>case 5)</u> For x=40 units
substitute in the equation 1
the dimensions of the rectangle are 40 units x 1.60 units
see the draw in the attached figure N 5
<u>case 6)</u> For x=60 units
substitute in the equation 1
the dimensions of the rectangle are 60 units x 1 (1/15) units
see the draw in the attached figure N 6
