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Difficulty:
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Question Stats:
74% (01:39) correct
26%
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A. 1
B. 5/3
C. 2
D. 5/2
E. 7/3
29 Nov 2010, 16:40
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The figure above is composed of 6 squares, each with side s centimeters. If the number of centimeters in the perimeter of the figure is equal to the number of square centimeters in its area, what is the value of s?
A. 1
B. 5/3
C. 2
D. 5/2
E. 7/3
Area of the figure is 6s^2 square centimeters, as there are 6 little squares and each has the are of s^2 (alternately you can notice that the figure shown is just a rectangle 2s*3s, with one little square moved on top, so area remained the same as that of a rectangle);
As for the perimeter: it equals to the perimeter of rectangle (p=2(2s+3s)=10s) plus 4s, so to 14s (again alternately you can just count the number of exposed sides to get the perimeter);
So, we are told that area=perimeter --> 6s^2=14s --> s=7/3.
Answer: E.
A. 1
B. 5/3
C. 2
D. 5/2
E. 7/3
Area of the figure is 6s^2 square centimeters, as there are 6 little squares and each has the are of s^2 (alternately you can notice that the figure shown is just a rectangle 2s*3s, with one little square moved on top, so area remained the same as that of a rectangle);
As for the perimeter: it equals to the perimeter of rectangle (p=2(2s+3s)=10s) plus 4s, so to 14s (again alternately you can just count the number of exposed sides to get the perimeter);
So, we are told that area=perimeter --> 6s^2=14s --> s=7/3.
Answer: E.
