arellalu wrote:The perimeters of Square S and rectangular region R are equal. If the sides of R are in the ratio 2:3, what is the ratio of the area of region R to the area of region S?
a) 25:26
b) 24:25
c) 5:6
d) 4:5
e) 4:9
Since Square S has 4 equal sides, plug in values for Rectangle R that yield a perimeter divisible by 4.
Rectangle R:
Let b=4 and h=6.
P = 2(4+6)=20.
A = 4*6 = 24.
Square S:
Since S has the same perimeter as R, P = 20.
Thus, s = 20/4 = 5.
A = 5² = 25.
R/S = 24/25.
The correct answer is
B.
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