Rhombus: side and area give the diagonals via (d1 ± d2)^2

CAT has tested this idea 3 times across 3 papers, from 2021 to 2025. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

QuestionWhat it asksAnswer
CAT 2025 Slot 1 · QA Q15 near-repeatside 36, area 396; difference of diagonals60
CAT 2021 Slot 2 · QA Q9 near-repeatside 5, area 12; longer diagonalC
CAT 2021 Slot 3 · QA Q12 near-repeatperimeter 40, area 96; sum of diagonals3500

Part of Geometry (65 questions since 2017).