We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of and
Finally, we can use the Pythagorean Theorem to find the length of :
So first, I would assign the small van a variable for how many people it can hold, or x.
So since it makes two trips,
2x
And since the other van can hold six more people,
2x + x + 6
And 57 people are transported:
3x + 6 = 57
We can then solve.
3x = 57 - 6
3x = 51
x = 17
So since we now know a small can hold 17 people, and we know that the larger van has 6 more seats, we can just say
17 + 6 = 23
So the large van has 23 seats.
When you find the LCM you are looking for the least common multiple in numbers.
It doesn't matter how many number you have you list the multiples of each number and the number that is the same that comes first is your LCM. For example if you want to find the LCM 21 and 7 the LCM would be 21 because if you list the multiples (count by 20 and 7) 21 is common in both numbers.
When you are looking for the GCF (greatest common factor) you list the factors that go into the number in a list of numbers. The largest number that goes into the set of numbers is your GCF. If there is no number but one, your GCF is 1 for example 3 and 7. one and three both go into 3 and 1 and 7 go into 7 to the common number in both of them are 1. if you have the numbers let say 4 and 8, the number that go into 4 are 1, 2, and 4. The numbers that go into 8 are 1, 2, 4, and 8. As you can see the numbers 1, 2, and 4 are the common but the largest number that is common is 4.
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If im correct the answer would be 4, hope i could help out.