Answer: s = 4, s = 4, top side = 10, bottom side = 15
Explanation:
If you're working with a trapezoid that has a perimeter of 33 meters, you should know that the length of the top is 6 meters greater than the side (s+6), while the bottom is 11 meters greater than the length of the side (s+11). In order to solve for the side, you can use the equation s+6+s+11+s+s=33.
Slove s+6+s+11+s+s=33.
I solved an equation where the sum of several values equaled 33. By simplifying the equation, I found that one of the values (represented by "s") is equal to 4.
s+6+s+11+s+s=33
4s + 17 = 33
4s = 33-17
4s = 16
s=16/4
s=4
After determining that the value of the unknown side is 4, it is possible to substitute this value in four different equations...
s+6 = 4+6= 10
s+11 = 4+11 = 15
s = 4 (One of the sides)
s = 4 (The other side)
After solving the equations, it appears that both sides of the shape are equal to 4 units. The first equation, s+6=10, shows that when we subtract 6 from 10, we get 4. The second equation, s+11=15, shows that when we subtract 11 from 15, we also get 4. Therefore, the length of each side of the shape is 4 units.