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Published on September 22, 2014

Written by Nancy R. Johnson 2002 Perimeter Matters (answers) 1. Marta wants to tie a ribbon around the sides of a hexagonal box and then tie a bow. Each side of the box is 4 inches long. She needs 14 inches for the bow. Is one yard of ribbon enough? Explain. Then state exactly how long the ribbon must be. The box has six sides, each 4 inches long. Therefore, Marta needs 6 X 4 = 24 inches of ribbon to go around the box. The bow takes 14 inches. So, Marta needs 24 14 = 38 inches. One yard or 36 inches of ribbon is not enough. Marta must have at least 38 inches. 2. Caryn needs to ship a box that is 14” high, 12 inches deep and 24 inches long. After sealing the box, she tied it with twine as shown: How much twine does she need if the bow uses 12 inches of twine? She needs 140 inches of twine. The twine is used along the height 4 times, along the depth 2 times, and along the length 2 times. The box takes 12 inches. The amount of twine needed = 4(14) 2(12) 2(24) 12 = 140 2. Shawndolyn is remodeling her daughter’s room. She plans to put a border around the room at waist height and another border around the ceiling. The diagram shows the layout of the 12’ X 8’ room. There will be no gaps in the ceiling border. How many feet of border does Shawndolyn need? The border around the ceiling takes 2(12) 2(8) = 24 16 = 40 feet. The waist high border takes 12 (8 – 5) (12 – 3 – 4) (8 – 3) = 12 3 5 5 = 25 feet. Shawdolyn needs 40 25 or 65 feet of the border. 4 ft. door 3 ft. window 3 ft. window 5 ft. closet doors