Question 5
EasyOriginal questionA rectangular hall floor measures 32 m by 18 m. A square courtyard has exactly the same area. By how much does the perimeter of the hall floor exceed the perimeter of the courtyard?
Show the answer and explanation
CorrectNot quiteAnswer C
Correct answer: C
Explanation
Area of the hall = m², so the courtyard's side = m.
Perimeters: hall m, courtyard m.
Difference = m.
Worth noting
Equal areas do not mean equal perimeters, so 0 m is wrong. For a fixed area, the square has the smallest perimeter of all rectangles.
- Concept
- Equal areas, different perimeters
- Typical timeTypical
- 40 s
- Your timeYours
- —
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Ten questions from Mensuration: Areas and Volumes, at your own pace.