Mathematics
Grade9
Easy

Question

The measure of x if the perimeter of the parallelogram MNOP is 24 cm is ______.

  1. 9
  2. 6
  3. 3
  4. 12

hintHint:

Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is 360 degree . Here, we have to find the measure of x in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 3


    In the question there is a parallelogram MNOP as shown in the figure above whose perimeter is 24 cm.
    Here, we have to find the value of x using the given information.
    text Perimeter of parallelogram  end text equals MN plus NO plus OP plus PM
rightwards double arrow 24 equals x plus 9 plus x plus 9
rightwards double arrow 2 space x equals 6
rightwards double arrow x equals 3
    So, the measure of x is 3 cm.
    Therefore, the correct option is c, i.e., 3 cm.

    Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is 360 degree and sum of two consecutive angles is 180 degree . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

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