Geometry and TrigonometryVery hardRhombus with a right-angle diagonal relation
Geometry and Trigonometry practice question
A kite-shaped garden has diagonals of length 10 metres and 10 metres that meet at right angles. What is its area, in square metres?
Answer: 50
Any quadrilateral with perpendicular diagonals has area (1/2)(d₁)(d₂): (1/2)(10)(10) = 50.
Common wrong answers
- If you answered 25
- 25 halves twice.
- If you answered 40
- 40 treats 10 as a side and adds; area needs (1/2)d₁d₂.
- If you answered 100
- 100 multiplies the diagonals without the 1/2 — they are diagonals, not sides.
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