Prealgebra: Ratio and Proportion

Prealgebra: Ratio and Proportion
Name: ____________________________________________ Topic F6: Similar Figures | VERSION B For the pairs of similar figures, set up proportions in order to find the unknowns. 1.
15
y
𝑦 = ℎ = 5.
The entire length of a violin is 24 inches, while its body length is 15 inches. The bass is an instrument proportional to the violin. If the total length of a bass is 72 inches, find its body length. The length of the body is inches. 6.
A new graphics card can increase the resolution of a computer's monitor. Suppose a monitor has a horizontal resolution of 800 pixels and a vertical resolution of 600 pixels. By adding a new graphics card, the resolution remain in the same proportions, but the horizontal resolution increases to 1,280 pixels. What is the new vertical resolution? The new vertical resolution is pixels. 4
6
10
y
𝑦 = 21
x
14
8
𝑥 = 3
4
h
7
3.
25
3.5
2.
4.
www.varsitylearning.com 1 Name: ____________________________________________ Prealgebra: Ratio and Proportion
Topic F6: Similar Figures | VERSION B 7.
The display of a 19" computer monitor is proportional to that of a 22" monitor. A 19" monitor has a horizontal resolution of 1,392 pixels and a vertical resolution of 783 pixels. If the 22" monitor has a horizontal resolution of 1,920 pixels, what is its vertical resolution? 9.
128 ft
1920 px
x
783 px
1392 px
24 ft
32 ft
The building is ___________________ feet tall. The vertical resolution is ___________________ pixels. 8.
A building casts a shadow 128 feet long, while a 24-‐foot tree casts a shadow 32 feet long. How tall is the building? A tree casts a shadow of 52 feet long, while a 6-‐
foot tall girl casts a shadow of 4 feet long. How tall is the tree? 10. A lighthouse is 32 feet tall and casts a shadow 48 feet long, while a boy casts a shadow 6 feet long. How tall is the boy? 32 ft
6 ft
4 ft
52 ft
The tree is ______________ feet tall. The boy is ____________________feet tall. www.varsitylearning.com 2 Prealgebra: Ratio and Proportion
Name: ____________________________________________ Topic F6: Similar Figures | VERSION B For the pairs of similar figures, set up proportions in order to find the unknowns. 1.
15
y
𝑦 = 5 ℎ = 8 5.
The entire length of a violin is 24 inches, while its body length is 15 inches. The bass is an instrument proportional to the violin. If the total length of a bass is 72 inches, find its body length. The length of the body is 45 inches. 6.
A new graphics card can increase the resolution of a computer's monitor. Suppose a monitor has a horizontal resolution of 800 pixels and a vertical resolution of 600 pixels. By adding a new graphics card, the resolution remain in the same proportions, but the horizontal resolution increases to 1,280 pixels. What is the new vertical resolution? The new vertical resolution is 960 pixels. 4
6
10
y
𝑦 = 15 21
x
14
8
𝑥 = 12 3
4
h
7
3.
25
3.5
2.
4.
www.varsitylearning.com 3 Name: ____________________________________________ Prealgebra: Ratio and Proportion
Topic F6: Similar Figures | VERSION B 7.
The display of a 19" computer monitor is proportional to that of a 22" monitor. A 19" monitor has a horizontal resolution of 1,392 pixels and a vertical resolution of 783 pixels. If the 22" monitor has a horizontal resolution of 1,920 pixels, what is its vertical resolution? A building casts a shadow 128 feet long, while a 24-‐foot tree casts a shadow 32 feet long. How tall is the building? 128 ft
1920 px
x
783 px
1392 px
The vertical resolution is 1080 pixels. 8.
9.
A tree casts a shadow of 52 feet long, while a 6-‐
foot tall girl casts a shadow of 4 feet long. How tall is the tree? 24 ft
32 ft
The building is 96 feet tall. 10. A lighthouse is 32 feet tall and casts a shadow 48 feet long, while a boy casts a shadow 6 feet long. How tall is the boy? 32 ft
6 ft
4 ft
52 ft
The tree is 78 feet tall. The boy is 4 feet tall. www.varsitylearning.com 4

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