Difficulty: Easy
Correct Answer: 480
Explanation:
Introduction / Context:
This question tests the area formula for a rectangle in a real-world context (a race course). The area of a rectangle is found by multiplying its length and breadth: Area = length * breadth. The dimensions are given in metres, so the resulting area will be in square metres. This is a direct calculation problem, and the options are close enough that a small multiplication mistake could lead you to a wrong choice. The safest method is to multiply carefully and keep units consistent.
Given Data / Assumptions:
Concept / Approach:
Use rectangle area formula and multiply 30 by 16. Keep the result in sq m.
Step-by-Step Solution:
Area = 30 * 16
30 * 16 = (3 * 16) * 10 = 48 * 10
Area = 480 sq m
Verification / Alternative check:
Estimate: 30*16 is close to 30*15=450, plus one more 30 gives 480. This quick check matches the computed answer and confirms there is no arithmetic slip.
Why Other Options Are Wrong:
560 is 35*16 or 28*20 style confusion, not 30*16.
180 is too small and may come from adding (30+16) and squaring incorrectly.
460 and 500 are near distractors for sloppy multiplication.
Common Pitfalls:
Adding length and breadth instead of multiplying, dropping a zero (getting 48 instead of 480), or mixing up dimensions from a diagram.
Final Answer:
The area of the course is 480 sq m.
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