OG 2020: Question No. 100
On a scale drawing, a rectangle 1 inch by 1(1/3) inches represents the floor of a room and the indicated scale is 1-inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)
- 40
- 70
- 120
- 700
- 1,200
| Source | OG 2020 |
| Type | Problem Solving |
| Topic | Geometry |
| Sub-Topic | Miscellaneous |
| Difficulty | Medium |
Solution
Given:
- Dimensions of the rectangular floor = 1 inch by 1(1/3) inches
- 1 inch = 15 feet
- 1 feet = 12 inches
To find:
- The number of square tiles 6 inches on a side will be needed to cover this floor.
Approach and Working:
- Dimensions of the rectangle in feet= 1 * 15 feet by (4/3) * 15 feet = 15 feet by 20 Feet
- Dimensions of the rectangle in inches = 15 * 20 inches by 20 * 12 inches = 180 inches by 240 inches
Area of the floor = 180 * 240
- Total number of square tiles of side length 6 inches need to cover this floor = (180 * 240)/(6 * 6) = 1200
Hence, the correct answer is option E.
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