Solved Examples and Worksheet for Application Problems involving Scale Drawings
Q1Length of a lake is 5 inches on map. The map of the lake has a scale of 1 inch : 20 miles. Find the actual length of the lake. A. 150 miles B. 50 miles C. 80 miles D. 100 miles
Q2A 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. A. 11 miles B. 10 miles C. 12 miles D. 9 miles
Q3A 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. A. 5.6 feet B. 6.3 feet C. 6.6 feet D. 7.6 feet
Q4A model baseball bat was placed at the entrance of a stadium, which measured 13 feet in length. A scale of 1 foot : 2 inches is used for the model. Find the actual length of the bat.
A. 27 inches B. 26 inches C. 29 inches D. 25 inches
The scale is the ratio of size of the statue in the blue print to the size of the original statue.
Step: 2
15105
[Write the ratio.]
Step: 3
= 15÷15105÷15 = 17
[Divide both numerator and denominator by the GCF 15.]
Step: 4
The scale used by the sculptor is 1 in. : 7 ft.
Correct Answer is : 1 in. : 7 ft
Q6The 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. A. 18 meters B. 20 meters C. 16 meters D. 9 meters
The scale is the ratio of the length of sketch to the length of the Chapel.
Step: 2
10040 = (100÷100)(40÷100) = 1 cm : 0.40 m
[Divide both numerator and denominator by 100.]
Step: 3
The artist used a scale of 1 cm : 0.40 m.
Correct Answer is : 1 cm : 0.40 m
Q8A map is drawn to a scale, such that a distance of 1 inch on the map represents a distance of 80 miles. What is the distance between the two cities, Rupert and Rushville, if the distance between them is 6.3 inches on the map? A. 504 miles B. 560 miles C. 400 miles D. 480 miles