MathDB

1

Part of 2022 MMATHS

Problems(2)

2022 MMATHS Team Online p1 - area chasing, starting with a rectangle

Source:

10/1/2023
Rectangle ABCDABCD has AB=8AB = 8 and BC=13BC = 13. Points P1P_1 and P2P_2 lie on ABAB and CDCD with P1P2∥BCP_1P_2 \parallel BC. Points Q1Q_1 and Q2Q_2 lie on BCBC and DADA with Q1Q2∥ABQ_1Q_2 \parallel AB. Find the area of quadrilateral P1Q1P2Q2P_1Q_1P_2Q_2.
geometryMMATHS
2022 MMATHS Individual p1 - 3x3 linear system

Source:

10/1/2023
Suppose that a+b=20 a + b = 20, b+c=22b + c = 22, and c+a=2022c + a = 2022. Compute a−bc−a\frac{a-b}{c-a} .
algebraMMATHS