Try This Rectangle Challenge
- Francis
- Jun 22
- 1 min read
Updated: Jul 9
Look at the image and answer the question.
This question is great for Olympiad Preparation.
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Check out the correct answer to this challenge:
https://youtube.com/shorts/zJlfMG7do-k?si=asLfAyHrFrd7HBAy
Perimeter of small rectangle = 28m
2(l+b) = 28m
l + b = 28/2 m
l+b = 14 m
The problem implies a specific arrangement where 4 breath equal 3 lengths.
So, 4b = 3l
l = 4/3 b
Substitute l = 4/3 b into l+b = 14 m
4/3 b + b = 14 m
7/3 b = 14 m
b = 14 × 3/7
= 6 m
l = 14 - b
= 14 - 6
= 8 m
Area of one small rectangle = l × b
= 8 × 6
= 48 m²
Area of the large rectangle = area of one small rectangle × 7
= 48 × 7
= 336 m²
Therefore, area of…