2022 · Q89
A square and a rectangle have same perimeter. They differ in areas by 1 square cm. The length of the rectangle exceeds its breadth by
Elementary MathematicsQuadrilaterals and Polygons
- A1 cm
- B2 cm
- C3 cm
- D4 cm
Explanation
l+b = 2s and s²−lb = 1 give (s−l)² = 1, so |l−b| = 2|l−s| = 2 cm. Writing b = 2s−l, the area condition becomes s²−l(2s−l) = 1, i.e. (l−s)² = 1. The keyed option is B.