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Citrus2011 [14]
3 years ago
10

A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe

et 196 feet 686 feet
Mathematics
2 answers:
natka813 [3]3 years ago
7 0

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

Ratling [72]3 years ago
3 0

The correct answer is:

B. 98 feet

The perimeter be 98 feet if each side length is increased by a factor 7.

|Huntrw6|

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VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

  • Max earned a total of $162 working at two jobs
  • He worked 6 hours at his grandfather's store
  • He worked 10 hours at the local  movie theater
  • g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local  movie theater

∴ He earned from the local  movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

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