1. A square-shaped city has an area of 20 square kilometers. What is the length of one side of the city in meters?
Solution
Correct: A
Area of a square = side × side. 20 km² = 20,000,000 m². So side² = 20,000,000 → side = √20,000,000 ≈ 4472 m.
2. If the city covers 20 km² and is divided into 4 equal rectangular parks, what is the area of each park in square meters?
Solution
Correct: A
Total area = 20 km² = 20,000,000 m². Dividing by 4 gives 20,000,000 ÷ 4 = 5,000,000 m² for each park.
3. A 20 km² city plans to plant trees on 0.25 of its area. How large will the planted area be in square meters?
Solution
Correct: A
20 km² = 20,000,000 m². One quarter of this is 20,000,000 × 0.25 = 5,000,000 m².
4. A square city covers 20 km². A walking path runs around the inside edge of the city, 100 m from each side. What is the area of the path in square meters?
Solution
Correct: A
City side length = √20,000,000 ≈ 4472 m. Inner square side = 4472 − 200 = 4272 m. Inner area = 4272² ≈ 18,250,000 m². Path area = 20,000,000 − 18,250,000 ≈ 1,600,000 m².
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