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7.G.1 Scale Drawings Review
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Scale drawings When trying to find the scale factor you must remember that it must be written as a proportion in one of two forms Model : Actual or πππππ πππ‘π’ππ Find the scale factor for the following Actual Model Length of Car Hood 3 ft 1in πππππ: 1 ππ π΄ππ‘π’ππ: 3 ππ‘ ππ 1 ππ :3 ππ‘ NEVER DIVIDE IT OUT!!! IT MUST BE WRITTEN AS A PROPORTION OR RATIO!
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When finding equivalent scale factors
A map of Sweden shows that 5cm equals 3 km. If the distance between Knivsta and Stockholm is 6 cm on the map how many km is it? When finding equivalent scale factors you must remember that label need to match!!! The numerator labels need to match and the denominator labels need to match. You also have to make sure that you label your final answer correctly. 5 ππ 3 ππ = 6 ππ π₯ ππ Then you cross multiply and solve for x by dividing. 5 ππ 3 ππ = 6 ππ π₯ ππ x = π₯ 5 = x = 3.6 km from Knivsta to Stockholm
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The height of the symbol in the accompanying drawing is 1. 5 inches
The height of the symbol in the accompanying drawing is 1.5 inches. The actual symbol will be 12 inches tall once it is placed on a sign. If the width of this symbol is 1 inch, how wide will the actual symbol be? First find the scale factor by putting model over actual: 1.5 ππ 12ππ 1.5 ππ 12 ππ = 1 ππ π₯ ππ x = π₯ 1.5 = X = 8 in wide
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What is the scale factor from the small rectangle to the large?
2 in 6 in 1 in x in First find the scale factor by putting model over actual: 2 ππ 6 ππ 2 ππ 6 ππ = 1 ππ π₯ ππ x = π₯ 2 = 6 2 X = 3 in wide
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An outline of Florida is sketched on a grid
An outline of Florida is sketched on a grid. If each grid unit represents 150 miles. What is the best estimate of the length of Floridaβs coastline? First find the scale factor by putting model over actual: 1.5 ππ 12ππ 1 π’πππ‘ 150 πππππ = 4.5 π₯ πππππ x = π₯ 1 = X = 675 miles
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The Sears Tower is 1450 feet. Jeff wanted to make a scale for his class project, but his motherβs car can hold only 36 inches tall model. Which of the following scales is closest to the scale Jeff needs? First find the scale factor by putting model over actual: 36 ππ 1450 ππ‘ 36 ππ 1450 ππ‘ = 1 ππ π₯ ππ‘ x = π₯ 36 = X = 40 ft correct answer B
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A photograph measures 4 inches wide and 5 inches long
A photograph measures 4 inches wide and 5 inches long. If you have the photograph enlarged to fit a frame 36 inches long, what is the widest the photograph can be? First find the scale factor by putting model over actual: 5 ππ 36 ππ 5 ππ 36 ππ = 4 ππ π₯ ππ x = π₯ 5 = X = 28.8 in wide
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Aaron bought a model airplane
Aaron bought a model airplane. The model used a scale of inch = 50 feet. If Aaronβs model airplane is 18 inches long, how long is a real airplane? First find the scale factor by putting model over actual: .25 ππ 50 ππ‘ .25 ππ 50 ππ‘ = 18 ππ π₯ ππ‘ x = π₯ .25 = X = 3600 ft
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If the rectangle below is enlarged using a scale factor of 1cm: 2
If the rectangle below is enlarged using a scale factor of 1cm: 2.5cm, what will be the perimeter and area of the new rectangle? First find the scale factor by putting model over actual: 1 ππ 2.5 ππ 1 ππ 2.5 ππ = 9 ππ π₯ ππ x = ππ 2.5 ππ = 5 ππ π₯ ππ 1π₯= 12.5 Perimeter add up all sides: = 70 cm
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