A group 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? A. x^2+(x-2)^2=10 B.x^2+2x^2=10 C. x^2+(x-2)^2=100 C. x^2+2x^2=100
Side of greater square = x units Side of lesser square = x - 2 units Area of greater square = x² units² Area of lesser square = (x - 2)² units² Total area of 10 x 10 grid = 100 units² Area of greater square + Area of lesser square = total area x² + (x - 2)² = 100 The answer is C
