What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Answers
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
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Answer:
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Jordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?
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T shows the total and it would be 3 divided by 6 because you need to find the total cost.
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Answer:
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Answers
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Step-by-step explanation:
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(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
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x < -3/5y+ 30 for the first one
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Answers
Answer: The number of dogs in all of the city's animal shelters is puppies = 270
Step-by-step explanation:
Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
If you do 5.5% x 2year =0.1
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Answers
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:))))))))
Explanation
donner l'écriture scientifiques des nombres ci-dessous
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salut :
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Your answer:
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Answers
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Answers
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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A
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hello : here is an solution
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I gain: a decent grade on my rigged extra school
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Step-by-step explanation:
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Answers
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Answers
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Answers
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Step-by-step explanation:
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
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Answers
Answer:
Infinite Solutions
Step-by-step explanation:
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