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Solved Examples
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cc  Length of a lake is 5 inches on map. The map of the lake has a scale of 1 inch : 25 miles. Find the actual length of the lake.  cc View Solution
cc  A Botany student drew a sketch of a plant, using a scale of 1 inch : 3.3 ft. Find the actual height of the plant, if the sketch is 2 in. long.  cc View Solution
cc  A pole measures 4 cm long in a picture. Find the actual length of the pole using a scale of 1 cm: 3 ft.
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cc  An 110 ft tall statue was carved and the sculptor used a 20 in. sketch of the statue as a blueprint. What scale did the sculptor use?
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cc  The height of a tree in a picture was 2 in. Find the actual height of the tree, if the scale of the picture was 1in : 9 m.  cc View Solution
cc  Jerald wanted to draw a picture of a 100 m tall transmitting tower on a hillock of height 400 m. The combined length of the hillock and the tower on the paper is 10 cm. Find the scale Jerald used.  cc View Solution
cc  The scale of a picture drawn is 3 in. : 4 ft. Find the actual length of the picture, if the length of the picture drawn is 9 in.  cc View Solution
cc  An artist drew a sketch of Westminster Abbey in London and it measured 40 cm. Find the scale used by him, if the chapel measures 40 meters.
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cc  An artist uses a scale of 4 in. : 1.5 ft for a drawing. Find the length on the drawing, if the actual length is 3 ft.
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cc  A scale drawing of the car picture is 1 cm : 4 ft. Find the actual length of the car, if the length of the car picture is 4 cm.  cc View Solution
cc  A map gives the length of rivers representing them with a scale of 4 cm : 28 mi. If one of the rivers on the map is of length 12 cm, then what is the actual length of the river?
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cc  A boy drew the picture of a pizza, which is actually 12 in. in diameter. The diameter of the picture is 2 inches. Find the scale used.
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cc  A model bridge is built on a scale of 1 : 28. If the length of the model bridge is 15 inches, then what is the actual length of the bridge?
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cc  The 118 scale model of the rocket stood 47 inches high. What is the height of the actual rocket?
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cc  A bridge was supposed to be built across a river and the architect drew a 3 cm long bridge using a scale 1 cm : 3 miles on paper. Find the actual length of the bridge.  cc View Solution
cc  A scale drawing of a bus is 1 in. : 4 ft. Find the actual height of the bus, if the height of the model is 4 in.  cc View Solution
cc  Scale of the couch shown is 1 inch : 12 feet. Find the actual height of the couch, if the height of the couch in the picture is 4 inches.  cc View Solution
cc  The scale used in a map is 3 in. : 3 ft. Find the actual height of a bridge, if it measures 6 in. on the map.  cc View Solution
cc  Length of a lake is 6 inches on map. The map of the lake has a scale of 1 inch : 36 miles. Find the actual length of the lake.  cc View Solution
cc  A Botany student drew a sketch of a plant, using a scale of 1 inch : 3.1 ft. Find the actual height of the plant, if the sketch is 3 in. long.  cc View Solution
cc  The figure shows the picture of a drawing room along with the scale. Using the scales, estimate the actual length by which the drawing room is longer than kitchen.
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cc  The height of a tree in a picture was 3 in. Find the actual height of the tree, if the scale of the picture was 1in : 10 m.  cc View Solution
cc  An 138 ft tall statue was carved and the sculptor used a 6 in. sketch of the statue as a blueprint. What scale did the sculptor use?
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cc  Tim wanted to draw a picture of a 100 m tall transmitting tower on a hillock of height 400 m. The combined length of the hillock and the tower on the paper is 10 cm. Find the scale Tim used.  cc View Solution
cc  The scale of a picture drawn is 3 in. : 4 ft. Find the actual length of the picture, if the length of the picture drawn is 6 in.  cc View Solution
cc  An artist drew a sketch of Westminster Abbey in London and it measured 80 cm. Find the scale used by him, if the chapel measures 40 meters.
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cc  An artist uses a scale of 4 in. : 1.5 ft for a drawing. Find the length on the drawing, if the actual length is 6 ft.
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cc  A scale drawing of the car picture is 1 cm : 3 ft. Find the actual length of the car, if the length of the car picture is 4 cm.  cc View Solution
cc  A map gives the length of rivers representing them with a scale of 4 cm : 20 mi. If one of the rivers on the map is of length 12 cm, then what is the actual length of the river?
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cc  A pole measures 4 cm long in a picture. Find the actual length of the pole using a scale of 1 cm: 4 ft.
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cc  A boy drew the picture of a pizza, which is actually 20 in. in diameter. The diameter of the picture is 4 inches. Find the scale used.
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cc  A model bridge is built on a scale of 1 : 40. If the length of the model bridge is 12 inches, then what is the actual length of the bridge?
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cc  The 122 scale model of the rocket stood 53 inches high. What is the height of the actual rocket?
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cc  An artist used a scale of 1 in. : 2 m to draw a chapel. If the chapel measured 10 in. in his sketch, find the actual height of the chapel.  cc View Solution
cc  Mike is carving a model ship from balsa wood on a scale of 3 : 40. If the ship is 120 ft long, then what is the length of the model ship in inches?
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cc  Francis has a book, which contains pictures of different cars. He observes that the height of a car in one of the pictures is 5 cm. The scale used to draw the picture of the car is 1 cm : 9 in. Find the actual height of the car.
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cc  Jim is preparing a map. His school is 4 miles from his house. If he uses a scale of 1 inch : 0.5 mile, then what is the distance between his school and his house on the map?
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cc  The scale used in a map is 2 in. : 3 ft. Find the actual height of a bridge, if it measures 2 in. on the map.  cc View Solution
cc  A map was scaled such that one inch equals 120 miles. If Boone and Ashton are 43 inches apart on the map, then what is the actual distance between them?
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cc  A drawing of a table has a scale of 1 inch equal to 3 feet. Find the actual length of the table, if the length of the table in the scale drawing is 4 inches.  cc View Solution
cc  A tree is 54 meters high. George used a scale of 1 inch : 9 meters to draw the picture of the tree. Find the height of the tree in George′s picture.
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cc  An artist drew a sketch of the Eiffel Tower and it measured 80 cm in height. Find the scale used, if the actual height of the tower is 320 m.
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cc  A lamp post measures 5 cm long in a picture. Find the actual height of the lamp post using a scale of 1 cm : 4 ft.
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cc  The figure shows the layout of a house. If the actual length of the living room is 12 ft, find the scale used to draw the layout.
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cc  Arthur has a book, which contains pictures of different cars. He observes that the height of a car in one of the pictures is 5 cm. The scale used to draw the picture of the car is 1 cm : 10 in. Find the actual height of the car.
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