a.
The scale factor to make the enlarged version is 1.25
To find the scale factor, we need to find the area of the original children's book and the area of the enlarged version.
Since the dimensions of the original children's book are 20 cm by 24 cm, its area, A = 20 cm × 24 cm = 480 cm².
Also, the dimensions of the enlarged version are 25 cm by 30 cm, its area, A' = 25 cm × 30 cm = 750 cm².
So, our scale factor of area = enlarged area/original area = 750 cm²/480 cm² = 25/16
So, the scale factor of the dimensions = √25/16 = 5/4 = 1.25
The scale factor to make the enlarged version is 1.25
b.
The area of wall on the blueprint is 0.1764 ft²
Scale factor of area = area of wall on blue print/actual area of wall
Since the scale factor of wall = 0.07, scale factor of area = 0.07²
area of wall on blue print = scale factor of area × actual area of wall
scale factor = 0.07² and actual area of wall = 36 ft²
area of wall on blue print = 0.07² × 36 ft² = 0.1764 ft²
The area of wall on the blueprint is 0.1764 ft²
c.
The volume of small container is 1080 L
scale factor = volume of small container/volume of large container
volume of small container = volume of large container × scale factor
scale factor = 0.075 and volume of large container = 14400 L
volume of small container = 14400 × 0.075 = 1080 L
The volume of small container is 1080 L
Learn more about scale factor here:
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