## 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:__

__Given:__

- Dimensions of the rectangular floor = 1 inch byĀ 1(1/3) inches
- 1 inch = 15 feet
- 1 feet = 12 inches

__To find:__

__To find:__

- The number of square tiles 6 inches on a side will be needed to cover this floor.

__Approach and Working:__

__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)Ā = 1200

Hence, the correct answer is option E.

Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don’t you try out our FREE Trial? We are the most reviewed online GMAT Preparation company in the GMATClub with more than 1950 reviews as of September 24, 2020.