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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