posted by .

Helping grandson with math. I would like to know how to do it before he does.
"How many different rectangles can be made with a perimeter of 20 units? (Remember, a square is also a rectangle.)"

  • Math -

    I assume you mean with integer lengths

    L + w = 10

    L = 5, w = 5 as you said
    L = 6, w = 4
    L = 7, w = 3
    L = 8, w = 2
    L = 9, w = 1

    the ones with w>L do not count because they are indistinguishable from the ones we have now. , So, 5.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The length of a rectangle is 2 times its width and its perimeter is 42 cm. A ssquare is formed by putting together 2 rectangles like this. Find the length and width of the edge and the area of this square. "A ssquare is formed by putting …
  2. 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 8. …
  3. math

    one of the two numbers that can be both the perimeter and the area of the same rectangle I am assuming that you are seeking the two rectangles that have the area equal to the perimeter. A 4 x 4 square has a perimeter and area of 16. …
  4. Optimization (Math)

    The mayor of a village wants to build a library of which the windows have a shape of a rectangle on top of a square. The total perimeter of each window is of P meters and varies depending on each windows size. Find the dimensions of …
  5. math

    Draw two different rectangles. Each rectangle should have a perimeter of ten units.
  6. Math

    Rectangle ABCD is similar to rectangle EFGH. If rectangle ABCD has sides that are 7 times greater than those of rectangle EFGH, what is the relationship between the perimeters of the rectangles?
  7. Math

    The first question is this: Helen designs a rectangle with an area of 225 square units. Her rectangle is the largest rectangle (that is, with largest area) with whole-number side lengths that can be made from the perimeter of the rectangle. …
  8. maths

    considera a rectangle with a perimeter of 24 units draw 6 rectangles of different dimension (usng natural numbers from 1 to 11)
  9. math

    A large rectangle has an area of 28 square units. It has been divided into two smaller rectangles. One of the smaller rectangles has an area of 4 square units. What are possible whole-number dimensions of the large rectangle?
  10. Algebra

    Of all the rectangles with areas of 100 square units and with whole number side lengths, determine the dimensions of the rectangle with the greatest perimeter. What is the least Perimeter What is greatest perimeter?

More Similar Questions