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On a scale drawing, a rectangle \(1\) inch by \(1\frac13\) inches represents the floor of a room and the indicated scale

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by Vincen » Thu Sep 23, 2021 11:44 am

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On a scale drawing, a rectangle \(1\) inch by \(1\frac13\) 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

Answer: E

Source: Official Guide
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Source: — Problem Solving |

As per the given Scale, sides of room are:
15x1=15 feet
15x \(\frac{4}{3}\) = 20 feet

Area = 300 sq. feet

Area covered by 1 tile = 6 inch. x 6 inch. = 1/2 foot x 1/2 foot = 1/4 sq. feet
No. of tiles covering 1 sq. foot = 4

Total= 300 x 4 = 1,200

Choice: E
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