A triangular garden has an area of 75 m². A smaller similar garden is built with its sides being one-third the length of the larger garden's sides. What is the area of the smaller garden?
Show answer & explanation
Correct answer: A
Explanation
Given:
Area of the large garden = 75 m²
Sides of the small garden = 1/3 of the sides of the large garden
According to the formula:
For similar figures,
Ratio of areas = (Ratio of sides)²
Ratio of sides = 1/3
Ratio of areas = (1/3)² = 1/9
Area of the small garden = 75 × 1/9 = 8.33 m²