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pashok25 [27]
3 years ago
11

A rectangle has a length of 4 feet and a perimeter of 14 feet. What is the perimeter of a similar rectangle with a width of 9 fe

et? **We are learning about proportions**
A. 36 ft
B. 108 ft
C. 42 ft
D. 126 ft​
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

Option C. 42\ ft

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its perimeter is equal to the scale factor too

step 1

Find the width of the rectangle that has a length of 4 feet and a perimeter of 14 feet

The perimeter of a rectangle is equal to

P=2(L+W)

substitute the values and solve for W

14=2(4+W)

W=7-4=3\ ft

step 2

Find the scale factor

Let

z-----> the scale factor

To find the scale factor divide the width of the larger rectangle by the width of the smaller rectangle

so

9/3=3

step 3

Find the perimeter of the larger rectangle

To find the perimeter of the larger rectangle multiply the perimeter of the smaller rectangle by the scale factor

so

3*14=42\ ft

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<h2>Answer :</h2>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.

<h2>Step-by-step explanation :</h2><h3>Known :</h3>
  • George can only cook one thing at a time
  • Turkey takes 90 minutes to cook
  • Pumpkin pie takes 20 minutes to cook
  • Rolls take 60 seconds to cook
  • A cup of coffee takes 45 seconds to heat

<h3>Asked :</h3>
  • Time needed to cook the meal
  • Time he need to start in order to complete the cooking at 4 P.M.

<h3>Completion :</h3>

Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,

60 seconds = 1 minutes

45 seconds = 45/60 minutes = 0.75 minutes

Time needed = Turkey + Pumpkin pie + Rolls + Coffee

Time needed = 90 + 20 + 1 + 0.75

Time needed = 111.75 minutes

Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.

111.75 minutes = 1 hour and 51.75 minutes

111.75 minutes = 1 hour and 51 minutes and 45 seconds

Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.

4h 0m 0s - 1h 51m 45s = 2h 8m 15s

<h3>Conclusion :</h3>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
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