The ratio of the side lengths of a quadrilateral is 2:4:5:7 and its perimeter is 36 meters. Determine the length of each side.

x =      
a =      
b =      
c =      
d =      

Show work

To get 36, the ratio would need to be 4:8:10:14.

What is x?

To determine the length of each side of the quadrilateral, we need to find the value of x first.

We can set up the equation:
2x + 4x + 5x + 7x = 36

Combine like terms:
18x = 36

Divide both sides by 18:
x = 2

Now that we know the value of x, we can find the length of each side.

a = 2x = 2 * 2 = 4 meters
b = 4x = 4 * 2 = 8 meters
c = 5x = 5 * 2 = 10 meters
d = 7x = 7 * 2 = 14 meters

Therefore, the length of each side is:
a = 4 meters
b = 8 meters
c = 10 meters
d = 14 meters