posted by .

A string is 12in. long which makes a rectangle area of 5sq.inch can you make a shape that has a greater area with the string, if so what's the shape and area.

  • Math -

    The shape giving you the largest area is a circle

    so 2πr = 12
    r = 6/π

    area = πr^2 = π(36/π^2) = 36/π
    or appr 11.46 , more than double the area of the rectangle

    If you had to stay with a rectangle, then with a perimeter of 12, we could have used a square with sides 3 units.
    then the area would have been 9 inches^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    If you get to pick a shape of a 20 mile perimiter what shape would be most efficient and why The shape's efficiency is determined by what you define efficency as: If you were trying to enclose the maximum area, a circle. If you were …
  2. Physics

    When Using A Graph To Solve A Problem About How Far A Car Traveled During Specified Time During Which It Was Accelerating, How Many Area Calculations Do You Have To Make?
  3. geometry

    The area of an ellipse in the form (x*x/a*a)+(y*y)/(b*b)=1 is A=3.14*ab. For this ellipse, a+b=20. a. write the area of the ellipse as a function of a. b. Find the equation of the ellipse with an area of 264 square centimeters. c. …
  4. science

    when you use a graph to solve a problem about how far a car traveled during a specified time during which it was accelerating how many area calculations do you have to make?
  5. math

    The area of some shape varies directly with the square of its side. If a shape with 2cm sides has an area 10cm^2,what would be the area of a shape ofthe same type with side of 3cm.
  6. math

    a rectangle has a base of 25 in. and a height of 15 in. if the shape is dilated with a scale factor of .6, what is the area of the new shape?
  7. Algebra

    I have 104 feet to build a dog pen in a rectangle shape. Area=52x-x2 x= width What is the largest width to maximize the area?
  8. math

    After the longer sides of a rectangle are decreased by 25%, the resulting shape is a square of area 576. What is the area of the original rectangle?
  9. Math

    Felic built a 4 inch by 8 inch rectangle. A. What is the perimeter of felic's rectangle?
  10. 6 grade math area perimeter

    I want to make sure this one is ok. I know the area now I need perimeter. It's a long line it's a 1× 6 and on top in the middle is another box 1×2 shape the area I got was 8 sq.units. I think perimeter is 15units. Is this right

More Similar Questions