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

## Answer This Question

## Related Questions

- 2nd grade math - If you have a rectangle with 24 square units 3 lines down 8 ...
- geometry - the ratio of the perimeter of two similar squares is 5 to 4. If the ...
- Math - What is the surface area in square units? top= 10 square units bottom= 10...
- Math - What is the surface area in square units? top= 10 square units bottom= 10...
- algebra - The perimeter of a square is 12cm greater than that of another square...
- geometry - Find the length of a side of a square whose perimeter and area have ...
- Algebra - A square has an area of 49 square units. Find the side length and ...
- Algebra - A square has an area of 49 square units. Find the sode length and ...
- geometry - Square 1 has an area of 49 sq. in. if each sideof square 2 is 3 ...
- algebra - the perimeter of the small square is equal to one-half the perimeter ...

More Related Questions