Agroup of students is given a 10 by 10 grid to cut into individual unit squares. the challenge is to create two squares using all of the unit squares. their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

which equation represents x, the side length of the greater square?

x^2 + (x – 2)^2 = 10
x^2 + 2x^2 = 10
x^2 + (x – 2)^2 = 100
x^2 + 2x^2 = 100

The answer is x^2 + 2x^2 = 100
10 by 10 implies L+L' = 10²
L'= 2L
L=x²

so it is x^2 + 2x^2 = 100

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.