On a scale drawing, a rectangle 1 inch by 1 and 1/3 inches

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AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 amFollowed by: 5 members; Thanked: 1 times

by AbeNeedsAnswers » Fri May 03, 2019 5:58 pm

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On a scale drawing, a rectangle 1 inch by 1 and 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)?

A) 40
B) 70
C) 120
D) 700
E) 1,200

E

Source: Official Guide 2020

Source: Beat The GMAT — Problem Solving | Fri May 03, 2019 5:58 pm

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ceilidh.erickson: GMAT Instructor; Posts: 2095; Joined: Tue Dec 04, 2012 3:22 pmFollowed by: 247 members; Thanked: 1443 times

by ceilidh.erickson » Sat May 04, 2019 1:46 pm

If the scale is 1 in = 15 ft, then the dimensions of the floor = 15x20 ft.

If each tile is 6 in x 6 in, that's 1/2 ft x 1/2 ft square. So every 1 sq feet of floor would take 4 tiles.

15 ft x 20 ft = 300 sq ft

300 sq ft x 4 tiles per sq ft = 1200 tiles total

The answer is E.

Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Mon May 13, 2019 5:37 pm

AbeNeedsAnswers wrote:On a scale drawing, a rectangle 1 inch by 1 and 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)?

A) 40
B) 70
C) 120
D) 700
E) 1,200

E

Source: Official Guide 2020

If the scale of the drawing is 1 inch = 15 feet, then the room has dimensions of 15 ft by 20 ft. Therefore, the area of the room is 15 x 20 = 300 sq. ft. Since each tile is 1/2 x 1/2 = 1/4 sq. ft, we need 300/(1/4) = 300 x 4 = 1,200 tiles to cover the floor of the room.

Answer: E

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