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Name Date A. 55 sq ft B. 220 sq ft C. 36,300 sq ft D. 105, 500 sq ft Core 4. A scale drawing of a rectangular park is 3 inches wide and 4 inches long. The actual park is 160 yards long. What is the area of the actual park, in square yards?

Name Date A. 55 sq ft B. 220 sq ft C. 36,300 sq ft D. 105, 500 sq ft Core 4. A scale drawing of a rectangular park is 3 inches wide and 4 inches long. The actual park is 160 yards long. What is the area of the actual park, in square yards?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Scale Drawing Problem – Calculating Area of a Park** *A scale drawing of a rectangular park is 3 inches wide and 4 inches long. The actual park is 160 yards long. What is the area of the actual park, in square yards?* Options: - A. 55 sq ft - B. 220 sq ft - C. 36,300 sq ft - D. 105,500 sq ft **Understanding the Problem:** 1. **Scale Factor**: First, determine the scale factor by comparing the length of the scale drawing to the actual length. The drawing is 4 inches, and the actual is 160 yards. 2. **Conversion**: Remember that 1 yard = 36 inches. Convert the actual park length to inches for comparison if necessary. 3. **Calculation of Width**: Use the scale factor to find the actual width. 4. **Area Calculation**: - Multiply the actual length by the actual width to find the area in square yards. **Note**: Ensure units are consistent when performing calculations.
Transcribed Image Text:**Scale Drawing Problem – Calculating Area of a Park** *A scale drawing of a rectangular park is 3 inches wide and 4 inches long. The actual park is 160 yards long. What is the area of the actual park, in square yards?* Options: - A. 55 sq ft - B. 220 sq ft - C. 36,300 sq ft - D. 105,500 sq ft **Understanding the Problem:** 1. **Scale Factor**: First, determine the scale factor by comparing the length of the scale drawing to the actual length. The drawing is 4 inches, and the actual is 160 yards. 2. **Conversion**: Remember that 1 yard = 36 inches. Convert the actual park length to inches for comparison if necessary. 3. **Calculation of Width**: Use the scale factor to find the actual width. 4. **Area Calculation**: - Multiply the actual length by the actual width to find the area in square yards. **Note**: Ensure units are consistent when performing calculations.
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