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
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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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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
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
