Posted by Keyonna on Friday, May 6, 2011 at 10:05am.
The ratio of the perimeters of two similar squares is 5 to 4. If the area of the smaller square is 32 square units, what is the area of the larger square?

Math  Reiny, Friday, May 6, 2011 at 10:17am
Since both the length of sides and perimeter are linear
the perimeters would be in that same ratio as the sides.
So the sides are in the ratio of 5:4
The ratio of areas is equal to the square of their corresponding sides.
so
A/32 = 5^2 / 4^2
A = 32(25)/16 = 50

Math  AbdulRehman, Friday, May 6, 2011 at 10:48am
If Smaller square = 32
Perimeter of Small Square = 4x
Perimeter of Larger Square = 5x
Perimeter Of Small Square = 4L
4x = 32
x = 32 / 4
x = 8
Then
5x = 5(8)
5x = 40
Answer This Question
Related Questions
 geometry  the ratio of the perimeter of two similar squares is 5 to 4. If the ...
 7th grade math  Q:The ratio of the perimeters of two square is 5 to 4. If the ...
 Math  A square with a side length of 2s has a smaller square inscribed. The ...
 Math  Two picture frames are similar. The ratio of the perimeters of the two ...
 math  Area A sequence of smaller squares is formed by connecting the midpoints ...
 math  Area A sequence of smaller squares is formed by connecting the midpoints ...
 Math please help  Two rectangular pieces of wood are similar. The ratio of the ...
 geometry  The area of the larger of two similar polygons is 729 square ...
 Geometry  Please Please HELP!!!! I need the answer to this and i've worked it ...
 Geometry (PLEASE HELP!!!)  Please Please HELP!!!! I need the answer to this and...
More Related Questions