Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2026 — Part 01 Question 104

Math Olympiad Vault · MathNet 2026 — Part 01

Question 104

Julius makes multiplications using only the squares of the numbers. It has to calculate the product $85 \times 135$. For this, it draws a rectangle of $85 \mathrm{~mm}$ by $135 \mathrm{~mm}$ and traces the largest possible square in this rectangle; It does the same in the remaining square and so on. That way he gets eight squares. Draw the figure made by Julius and write $85 \times 135$ as the sum of eight squares: $85 \times 135=85^{2}+\ldots$