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A landscaper has a scale drawing of a rectangular garden that uses a scale of 3 inches to four feet. The dimensions of the garden on the drawing are 15 inches by 12 inches. What is the area, in square feet, of the actual rectangular garden?

User Eadel
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Final answer:

Converting the scale drawing dimensions to actual garden dimensions using the scale 3 inches to 4 feet, the garden measures 20 feet by 16 feet, leading to an area of 320 square feet.

Step-by-step explanation:

The student's question concerns a scale drawing of a rectangular garden and the area of that garden in square feet. The scale on the drawing is 3 inches to 4 feet. To find the actual dimensions of the garden, we scale up the drawing dimensions by converting inches on the drawing to feet in reality using the given scale. The dimensions on the drawing are 15 inches by 12 inches, which means the actual dimensions of the garden are (15 inches × (4 feet / 3 inches)) by (12 inches × (4 feet / 3 inches)).

Calculating each dimension: the length is (15 × ⅔) feet and the width is (12 × ⅔) feet. Simplifying, the length is 20 feet, and the width is 16 feet. The area of the actual garden in square feet is the length times the width, which is (20 feet × 16 feet = 320 square feet).

User Dmatson
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