math

the perimeter of this hexagon is 162 cm. each longer side measures 1cm more than twice a shorter side. find the length of the side labeled x.

  1. 👍 0
  2. 👎 0
  3. 👁 346
  1. side1 = x
    side2 = 2x+1
    side3 = 2(2x+1) + 1 = 4x + 3
    side4 = 2(4x+3) + 1 = 8x + 7
    side5 = 2(8x+7) + 1 = 16x + 15
    side5 = 32x + 31

    add them up = 162
    solve for x

    1. 👍 0
    2. 👎 0
  2. 20

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The backyard of a house is in the shape of a triangle. The longest side is 4 ft shorter than twice the shortest side. The third side is 4 ft less than the longest side. If the perimeter of the yard is 162 ft, what are the lengths

  2. math

    The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?

  3. algebra 1

    The perimeter of a triangle is 62 cm. If the second side is twice as long as the first side, and the third side is 12 cm longer than the second side, what is the length of the longest side of the triangle?

  4. Math

    The side of a square is 10 meters longer than the side of an equilateral triangle. The perimeter of the sqaure is 3 times the perimeter of the triangle. Find the length of each side of the triangle.

  1. Math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Drawings not to scale On Quadrilateral A B C D, side A B measures 10 units and side A D measures 6 units. Angle D measures 86

  2. Math

    The first side of a triangle is 7cm shorter than twice the length of the second side.The third side is 4cm longer than the first side. The perimeter is 80cm. Calculate the length of each side of this triangle.

  3. math

    Enter your answer and show all the steps that you use to solve this problem in the space provided. Drawings not to scale On Quadrilateral A B C D, side A B measures 10 units and side A D measures 6 units. Angle D measures 86

  4. math

    One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

  1. Math

    A certain triangle has a perimeter of 3080 mi. The shortest side measures 71 mi less than the middle​ side, and the longest side measures 373 mi more than the middle side. Find the lengths of the three sides.

  2. math

    the perimeter of a rectangle is 35.54 inches longer than the perimeter of a square of side 6.75 inches. Find the perimeter of the rectangle to the nearest tenth of an inch.

  3. Maths

    The perimeter of a parallelogram is 88 cm and one of its adjacent side is longer than the other by 10 cm.Find the length of each of its side.

  4. Math

    A square has the same area as a rectangle whose longer side is 2 times the length of its shorter side. If the perimeter of the rectangle is 24, what is the perimeter of the square? A. 8 sqrt 2 B. 16 sq

You can view more similar questions or ask a new question.