Question:medium

Which is the correct sequence of the court/field dimensions of the following games from small court to large court?
• [(a)] Basketball
• [(b)] Football
• [(c)] Handball
• [(d)] Tennis
• [(e)] Badminton

Show Hint

Court/Field Size Order: Badminton $<$ Tennis $<$ Basketball $<$ Handball $<$ Football
  • (e), (d), (a), (c), (b)
  • (e), (a), (d), (b), (c)
  • (d), (c), (a), (b), (e)
  • (d), (a), (c), (e), (b)
Show Solution

The Correct Option is A

Solution and Explanation


Step 1:
Find the dimensions of a Badminton court.
A standard doubles badminton court measures: \[ 13.4 \text{ m} \times 6.1 \text{ m} \] Area: \[ = 81.74 \text{ m}^2 \] Thus, badminton has the smallest playing area among the given games.

Step 2:
Find the dimensions of a Tennis court.
A standard doubles tennis court measures: \[ 23.77 \text{ m} \times 10.97 \text{ m} \] Area: \[ \approx 261 \text{ m}^2 \] Hence tennis court is larger than badminton court.

Step 3:
Find the dimensions of a Basketball court.
A standard basketball court measures: \[ 28 \text{ m} \times 15 \text{ m} \] Area: \[ = 420 \text{ m}^2 \] Therefore basketball court is larger than tennis court.

Step 4:
Find the dimensions of a Handball court.
A standard handball court measures: \[ 40 \text{ m} \times 20 \text{ m} \] Area: \[ = 800 \text{ m}^2 \] Hence handball court is larger than basketball court.

Step 5:
Find the dimensions of a Football field.
A football field is much larger, approximately: \[ 105 \text{ m} \times 68 \text{ m} \] Area: \[ = 7140 \text{ m}^2 \] Thus football has the largest playing area.

Step 6:
Arrange from smallest to largest.
\[ \text{Badminton} < \text{Tennis} < \text{Basketball} < \text{Handball} < \text{Football} \] Therefore, \[ (e), (d), (a), (c), (b) \] \[ {\text{Option (A)}} \]
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