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

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Mathematics

22 July, 20:16

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

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Madyson Brooks · Answer 1

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