2020 · Q75
A square and a rectangle have equal areas. If one side of the rectangle is of length numerically equal to the square of the length of the side of the square then the other side of the rectangle is
Elementary MathematicsMensuration
- Asquare root of the side of the square
- Bhalf the side of the square
- Cof unit length
- Ddouble the side of the square
Explanation
If the square has side s, the rectangle has sides s² and t. Equal areas give s²·t = s², so t = 1 — unit length. With all lengths in the same unit, the unknown side is 1 unit.