math

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?

asked by Esther
  1. 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.

    posted by Damon
  2. 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


    posted by helper

Respond to this Question

First Name

Your Response

Similar Questions

  1. 2nd grade math

    If you have a rectangle with 24 square units 3 lines down 8 across how can you have a 4 unit rectangle with a perimeter of 8 around the outside also 6 units with a perimeter of 10 in a seprate problem A square of 4, perimeter of
  2. Math

    Please Check My Answer: Find the probability that you throw a dart and land in the region labeled "G" Here is a link to the image: I can't place it in here, but if you google the question, the very first image that pops up (A
  3. geometry

    the ratio of the perimeter 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?
  4. Math

    you can draw a square inside another square by placing each vertex of the inner square on one side of the outer square. The large square in this diagram has side length 10 units a) Determine the area of the inscribed square as a
  5. Geometry

    ABGF is a square with half the perimeter of square ACDE. GD = 4in. Find the area of the shaded region. Please help me work this problem out I am stuck. It's a square and in the top right corner there in another square inside it
  6. algebra

    The perimeter of a square is 12cm greater than that of another square. It's area exceeds the area of the other by 39cm^2. Find the perimeter of each square. I don't get how to set this up.
  7. Math

    if you fold a square paper vertically, the new rectangle has a perimeter of 39cm. what is the area of the original square? what is the perimeter of the original square? what is the area of the resulting rectangle? make a ratio of
  8. math

    the perimeter of two square are 848cm and 436cm find the perimeter of square whose area is equal to the sum of areas of two square.
  9. Math

    What is the surface area in square units? top= 10 square units bottom= 10 square units right= 4 square units left= 4 square units front= 10 square units back= 10 square units
  10. Math

    What is the surface area in square units? top= 10 square units bottom= 10 square units right= 4 square units left= 4 square units front= 10 square units back= 10 square units

More Similar Questions