Interesting property

Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers.

What are the dimensions of the rectangle?

Result

a =  3 m
b =  6 m

Solution:

2(a+b)=ab 2a+2b=ab  a2  a=3 m2(a+b) = ab \ \\ 2a + 2b = ab \ \\ \ \\ a \neq 2 \ \\ \ \\ a = 3 \ \text{m}
b=2aa2 b=6 mb = \dfrac{ 2a }{a -2 } \ \\ b = 6 \ \text{m}



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Garden
    garden_6 The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
  2. Rectangle - area, perimeter
    rectnagles_2 The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
  3. Rectangular garden 2
    garden A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m2. Calculate the size of the garden.
  4. Drawer
    drawer The rectangular face of a drawer has a perimeter of 108 cm and a width of 18cm. Find the length and the area of the rectangular face of the drawer.
  5. Playground
    playground The land for the construction of the school playground has the shape of a rectangle with a shorter side of 370 m. Its other side is 260 m longer. How many meters of the fence does the school need to buy on the fencing playground?
  6. Rectangle
    rectangles_3 The rectangle area is 182 dm2, its base is 14 dm. How long is the other side? Calculate its perimeter.
  7. Rectangle - sides
    colored_squares What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
  8. Rectangle
    squares2_3 Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
  9. Rectangle vs square
    squares_3 The rectangle has dimensions of 13 × 10, square 8 × 8. Which shape has more area and how much above?
  10. Percent change
    rectangles If the length of a rectangle is increased by 25% and the width is decreased by 10%, the area of the rectangle is larger than the area of the original rectangle by what percent?
  11. Seats
    divadlo_2 Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
  12. Find the 12
    circle_eq Find the equation of the circle with center (3,7) and circumference 8π units.
  13. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  14. Reciprocal equation 2
    parabola2 Solve this equation: x + 5/x - 6 = 4/11
  15. Rectangle
    rectangle_1 Calculate perimeter of the rectangle with sides a=2.4 m and b=1.9 m.
  16. Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  17. Calculation of CN
    color_combinations Calculate: ?