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Alia made a scale drawing of a square park, which has a side length of 30 feet. She used the scale 3 centimeters = 5 feet. What will be the area of the scale drawing?

a) 18 cm²
b) 25 cm²
c) 324 cm²
d) 900 cm²

User Workabyte
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1 Answer

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Final answer:

The area of the scale drawing of a square park with side length 30 feet, using a scale of 3 cm = 5 feet, is found to be 324 cm².

Step-by-step explanation:

The question asks for the area of a scale drawing of a square park, with a real-life side length of 30 feet, using the scale 3 centimeters = 5 feet. To solve this, we first need to determine the scale drawing's side length in centimeters. If 5 feet is represented by 3 centimeters on the drawing, then 30 feet will be represented by (3 cm / 5 ft) × 30 ft, which calculates to 18 cm. Thus, each side of the scale drawing of the square park is 18 cm long. To find the area, which is side × side, we multiply 18 cm by 18 cm, resulting in an area of 324 cm². Therefore, the correct answer is option c) 324 cm².

User Baroquedub
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