posted by .

what is the smallest perimeter possible for a rectangle whose area is 1000in^2 and what are its dimensions?

  • math -

    The smallest perimeter of a rectangle is obtained when the rectangle is a square,
    so ...
    x^2 = 1000
    x = √1000 = 10√10

    so the perimeter is 40√10 and its dimensions are
    10√10 inches by 10√10 inches.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Find the Maximum area for the given perimeter of a rectangle. State the length and width of the rectangle. 28 inches Well, finally a calculus problem. Ok, we know that the area for a rectangle is A=l*w and the perimeter is P=2(l+w) …
  2. math

    Mr. Harrison has a very large backyard. He contacted the Clover Pool Company to have a pool installed in the shape of a rectangle. The Clover Pool Company would build a pool that has a perimeter of 72 yards. Mr. Harrison would be allowed …
  3. math 11

    Is it possible for a rectangle with a perimeter of 44cm to have the area of 125cm^2 ?
  4. geometry

    given constant perimeter (people),Irene made a rectangle with an area (tables) of 196 sq. units. she finds that this is the largest area (greatest number of tables) possible for the given perimeter. Irene drew a rectangle with an area …
  5. calculus

    Find the dimensions of a rectangle with perimeter 100m. whose area is as large as possible.
  6. Math 11

    Is it possible to construct a rectangle whose length is 1cm less than twice its width, and whose area is 40cm^2?
  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. math

    The length of a rectangle is 7 cm longer than the width. The perimeter is no less than 38 cm. Find the smallest possible dimensions of the rectangle.
  9. grade 3 math

    1) what is the greates perimeter of a rectangle with an area of 39 square feet?
  10. Math

    2. A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle. Solve it as a polynomial.

More Similar Questions