Rectangle - parallelogram

It is given a rectangle that is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle.

Correct answer:

x =  20 cm

Step-by-step explanation:

$x=5\cdot 4=20\text{ cm}$

Try another example

Related math problems and questions:

• Rectangle - desc circle
  Length of the sides of the rectangle are at a ratio 1: 3 . Radius of the circle circumscribed to rectangle is 10 cm. Calculate the rectangle's perimeter.
• Rectangle and circle
  The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many cm is circle long.
• Parallelogram ABCD
  The area of parallelogram ABCD is 440 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
• Parallelogram
  The perimeter of the parallelogram is 417 cm. The length of one side is 1.7-times longer than the length of the shorter side. What is the length of sides of a parallelogram?
• Desribed circle to rectangle
  Rectangle with sides 6 cm and 4 cm was circumscribed circle. What part of the content of the circle determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
• Ratio of sides
  Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
• Rhumbline
  Find circumference and area of the rhumbline ABCD if the short side AD of which has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm.
• The sides
  The sides of the rectangle are in a ratio of 3: 5 and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
• Rectangle - sides 3
  If in the rectangle ABCD we enlarge the side a by 5 cm and decrease the side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of the side a by 4 cm and at the same time we increase the length of side b by 3 cm we increas
• Midpoints
  Triangle ABC with sides a = 5 cm, b = 3 cm, c = 40mm has a midpoint of K, L, M. How many centimeters is long perimeter of parallelogram KBLM?
• Circumscribed circle to square
  Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square.
• Perimeter of circle
  Calculate the circumference of described circle to the triangle with sides 9,12,15 cm.
• Diagonal
  Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
• Rectangle JANO
  The rectangle has side lengths | JA | = 16cm and | AN | = 12cm. Point S is the center of the JO side and point T is the center of the JA side. Calculate the perimeter of the pentagon in cm.
• Circumscription
  Calculate radius of the Circumscribed circle in the rectangle with sides 20 and 19. It can be rectangle inscribed by circle?
• Find the
  Find the length of the side of the square ABCD, which is described by a circle k with a radius of 10 cm.
• Rectangle
  The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to the rectangle.