Finding Perimeter of a Polygon

Questions and Answers

Perimeter (correct)

Volume

Area

Surface

400 ft

480 ft

320 ft (correct)

240 ft

480 ft

640 ft

1280 ft

960 ft (correct)

2 * length + 2 * width Signup and view all the answers

No, he does not have enough border. Signup and view all the answers

26 ft Signup and view all the answers

Add up the length of all the sides. Signup and view all the answers

48 in Signup and view all the answers

$3.00 Signup and view all the answers

17 Signup and view all the answers

10 Signup and view all the answers

59 cm Signup and view all the answers

31.5 Signup and view all the answers

162 cm Signup and view all the answers

79.5 cm Signup and view all the answers

Study Notes

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).

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.