perimeter and a parallelogram?

the perimeter of a parallelogram is 48, with the length of a shorter side 10. Find the length of a longer side.

please help!

Comments

  • let's name the sides A,B,C,D. A and C are opposite so they ahev the same length. B and D are opposite so they have the same length. A and C are the longer side. Therefore you know B and D are both 10 units. This means together they are 20 units. So of the perimeter, you only have 28 (48 - 20) more units for the longer sides. So 28 divided by 2 gives you 14. So the longer sides are 14 units.

  • The same way you'd answer if it were a rectangle. Opposite sides of a parallelogram are congruent. So, you know that two sides have length 10, so the other two sides add up to 48-20=28. The length of one of the longer sides is 28/2 = 14

  • Easy. The opposing sides of parallelograms have to have the same length. So you have 2 sides with a length of 10. The other sides we'll call x.

    x + x + 10 + 10 = 48

    2x + 20 = 48. Subtracting 20 from both sides...

    2x = 28. Dividing both sides by 2...

    x = 14.

  • If that one side is 10, then the side opposite that must be 10. So you have twenty. Since the other two sides must be congruent as well, subtract: 48-20 to get 28. Now what two numbers evenly go into 28? 14. So the longer sides are 14 and 14.

  • ok perimeter is the total length around th shape

    p=48

    a rectangle has 4 sides

    the shorter side is 10

    since there are 2 shorter sides you have 2 double 10 which equals 20

    next you subtract 20 from 48 which equals 28

    since there are two longer sides divide 28 by 2

    theres your answer 14

  • There are two sets of parallel sides with the same length....

    if one side is 10, then another side is 10.

    subtract both sides from the total 48-20= 28

    Then divide by two... since there's two more sides left.

    28/2= 14

    The longer side is 14

  • A parallelogram includes 2 pairs of congruent factors. in this occasion, factors AB = CD and BC = advert. First, to locate ingredient AB: to get from A to B, the cost will strengthen 3 alongside the x axis, and four alongside the y axis. as a result, a triangle is formed, with one ingredient of three, one ingredient of four, and the hypotenuse of AB. to locate AB, use Pythagorean theorem, so 3^2 + 4^2 = AB^2 9 + sixteen = AB^2 25 = AB^2 AB = 5 2nd, locate ingredient BC to pass from ingredient B to C, the cost will strengthen 9 alongside the x axis, and 0 alongside the y axis. as a result, BC = 9 Then, all of us understand that the edge of AB + BC + CD + advert, and all of us understand that AB = CD and BC = advert, and that AB = 5 and BC = 9. So, the fringe is comparable to 5 + 9 + 5 + 9 = 28.

  • (48 -(10 x 2))

    the answer is 14

  • 14 because

    10 multiplied by 2 (because it has 2 shorter side) =20

    48-20=28

    28 divided by 2=14

    14 is the answer!

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