1.2 Applications and Modeling with Linear Equations 101 13. Dimensions of a Puzzle Piece A puzzle piece in the shape of a triangle has perimeter 30 cm. Two sides of the triangle are each twice as long as the shortest side. Find the length of the shortest side. (Side lengths in the figure are in centimeters.) 2x 2x 14. Dimensions of a Label The length of a rectangular label is 2.5 cm less than twice the width. The perimeter 2w - 2.5 is 40.6 cm. Find the width. (Side lengths in the figure are in centimeters.) HF HOME FINDERS 55 North Maple St. Philadelphia, PA 19106 15. Perimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot. 16. World Largest Ice Cream Cake The world's largest ice cream cake, a rectangular cake made by a Dairy Queen in Toronto, Ontario, Canada, on May 10, 2011, had length 0.39 m greater than its width. Its perimeter was 17.02 m. What were the length and width of this 10-ton cake? (Source: www.guinnessworldrecords.com) 17. Storage Bin Dimensions A storage bin is in the shape of a rectangular box. Find the height of the box if its length is 18 ft, its width is 8 ft, and its surface area is 496 ft². (In the figure, h = height. Assume that the given surface area includes that of the top lid of the box.) 18 ft 8 ft CARGO CONTAINER right circular cylinder

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1.2 Applications and Modeling with Linear Equations 101
13. Dimensions of a Puzzle Piece A puzzle piece in the
shape of a triangle has perimeter 30 cm. Two sides of
the triangle are each twice as long as the shortest side.
Find the length of the shortest side. (Side lengths in
the figure are in centimeters.)
2x
2x
14. Dimensions of a Label The length of a rectangular
label is 2.5 cm less than twice the width. The perimeter
2w - 2.5
is 40.6 cm. Find the width. (Side lengths in the figure
are in centimeters.)
HF
HOME FINDERS
55 North Maple St.
Philadelphia, PA 19106
15. Perimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft.
The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less
than the longest side. Find the lengths of the three sides of the triangular plot.
16. World Largest Ice Cream Cake The world's largest ice cream cake, a rectangular
cake made by a Dairy Queen in Toronto, Ontario, Canada, on May 10, 2011, had
length 0.39 m greater than its width. Its perimeter was 17.02 m. What were the length
and width of this 10-ton cake? (Source: www.guinnessworldrecords.com)
17. Storage Bin Dimensions A storage bin is in the shape of a rectangular box. Find the
height of the box if its length is 18 ft, its width is 8 ft, and its surface area is 496 ft².
(In the figure, h = height. Assume that the given surface area includes that of the top
lid of the box.)
18 ft
8 ft
CARGO
CONTAINER
right circular cylinder
Transcribed Image Text:1.2 Applications and Modeling with Linear Equations 101 13. Dimensions of a Puzzle Piece A puzzle piece in the shape of a triangle has perimeter 30 cm. Two sides of the triangle are each twice as long as the shortest side. Find the length of the shortest side. (Side lengths in the figure are in centimeters.) 2x 2x 14. Dimensions of a Label The length of a rectangular label is 2.5 cm less than twice the width. The perimeter 2w - 2.5 is 40.6 cm. Find the width. (Side lengths in the figure are in centimeters.) HF HOME FINDERS 55 North Maple St. Philadelphia, PA 19106 15. Perimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot. 16. World Largest Ice Cream Cake The world's largest ice cream cake, a rectangular cake made by a Dairy Queen in Toronto, Ontario, Canada, on May 10, 2011, had length 0.39 m greater than its width. Its perimeter was 17.02 m. What were the length and width of this 10-ton cake? (Source: www.guinnessworldrecords.com) 17. Storage Bin Dimensions A storage bin is in the shape of a rectangular box. Find the height of the box if its length is 18 ft, its width is 8 ft, and its surface area is 496 ft². (In the figure, h = height. Assume that the given surface area includes that of the top lid of the box.) 18 ft 8 ft CARGO CONTAINER right circular cylinder
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