Questions and Answers
What is the concept known as the distance around an object, shape, or figure?
How many feet are around Melody's entire block?
How many feet will Melody walk every day?
What is the formula to find the perimeter of a rectangle?
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Does Daniel have enough border to line his entire rectangular bulletin board?
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What is the perimeter of Daniel's rectangular bulletin board?
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To find the perimeter of a polygon, what do you need to do?
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What is the total length of ribbon that Christy needs to frame her collage?
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What is the cost of the ribbon Christy needs for her collage?
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What is the length of rectangle DOTS?
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What is the value of x in the equation for rectangle DOTS?
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What is the length of side PD in triangle PUD?
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What is the value of x in the equation for triangle PUD?
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What is the total perimeter of triangle PUD?
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What is the length of side UD in triangle PUD?
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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.