Finding Perimeter of a Polygon
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Questions and Answers

What is the concept known as the distance around an object, shape, or figure?

  • Perimeter (correct)
  • Volume
  • Area
  • Surface
  • How many feet are around Melody's entire block?

  • 400 ft
  • 480 ft
  • 320 ft (correct)
  • 240 ft
  • How many feet will Melody walk every day?

  • 480 ft
  • 640 ft
  • 1280 ft
  • 960 ft (correct)
  • What is the formula to find the perimeter of a rectangle?

    <p>2 * length + 2 * width</p> Signup and view all the answers

    Does Daniel have enough border to line his entire rectangular bulletin board?

    <p>No, he does not have enough border.</p> Signup and view all the answers

    What is the perimeter of Daniel's rectangular bulletin board?

    <p>26 ft</p> Signup and view all the answers

    To find the perimeter of a polygon, what do you need to do?

    <p>Add up the length of all the sides.</p> Signup and view all the answers

    What is the total length of ribbon that Christy needs to frame her collage?

    <p>48 in</p> Signup and view all the answers

    What is the cost of the ribbon Christy needs for her collage?

    <p>$3.00</p> Signup and view all the answers

    What is the length of rectangle DOTS?

    <p>17</p> Signup and view all the answers

    What is the value of x in the equation for rectangle DOTS?

    <p>10</p> Signup and view all the answers

    What is the length of side PD in triangle PUD?

    <p>59 cm</p> Signup and view all the answers

    What is the value of x in the equation for triangle PUD?

    <p>31.5</p> Signup and view all the answers

    What is the total perimeter of triangle PUD?

    <p>162 cm</p> Signup and view all the answers

    What is the length of side UD in triangle PUD?

    <p>79.5 cm</p> Signup and view all the answers

    Study Notes

    The Perimeter

    • The perimeter is the distance around an object, shape, or figure.
    • To find the perimeter of a polygon, add up the length of all its sides.

    Triangle and Rectangle Perimeters

    • To find the perimeter of a rectangle, add up the length of all its sides (e.g., 80 + 80 + 80 + 80) or multiply the number of sides by the length of one side (e.g., 4 * 80).
    • Melody's block has a perimeter of 320 ft, so she will walk 960 ft every day (3 times around the block).
    • Daniel's rectangular bulletin board has a perimeter of 26 ft, but he only has 25 ft of decorative border, so it's not enough to line the entire board.
    • Christy's triangular collage has a perimeter of 48 in, so she needs 48 in of ribbon to frame it, which will cost 3(4ft∗3 (4 ft * 3(4ft∗0.75 per ft).

    Solving with Perimeter

    • To find the measure of a side, use the perimeter and the formula for the perimeter of a rectangle or triangle.
    • For rectangle DOTS, the perimeter is 56, and the length is 2x - 3, while the width is x + 1.
    • To find the length of rectangle DOTS, solve for x by setting up the equation 2(2x - 3) + 2(x + 1) = 56, and then plug x = 10 into the equation for the length to get 2(10) - 3 = 17.
    • For triangle PUD, the perimeter is 162 cm, and the sides are PD = 2x - 4, PU = x - 8, and UD = 3x - 15.
    • To find the length of each side of triangle PUD, solve for x by setting up the equation 2x - 4 + x - 8 + 3x - 15 = 162, and then plug x = 31.5 into each equation to get PD = 59 cm, PU = 23.5 cm, and UD = 79.5 cm.

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    Description

    Calculate the perimeter of a polygon by adding up the length of all its sides. In this case, find the distance Melody walks around her block daily.

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