Posted by Esther on Wednesday, February 2, 2011 at 7:11pm.
square x has an area of 100 square units. Square Y has a perimeter that is half of the perimeter of square x. What is the area of square y?

math  Damon, Wednesday, February 2, 2011 at 7:19pm
each side of x is 10 units since it is square
then each side of y must be 5 units
and its area is 25 square units
In fact the ratio of areas of any two similar figures is the square of the linear scale ratio between them.

math  helper, Wednesday, February 2, 2011 at 7:30pm
Square X, s = side
Area, A = s^2
100 = s^2
Take square root of both sides
10 = s
Square X, s = side
Perimeter, P = 4s
s = 10
P = 4(10)
P = 40
Square Y, s = side
Perimeter of Sq. Y = 1/2 Sq. X
Perimeter of Sq X = 40,
P = 1/2 (40) = 20
P = 4s
20 = 4s
s = 5
Square Y, side = s
Area, A = s^2
s = 5
A = 5^2
A = 25 sq units
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