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Vika [28.1K]
3 years ago
11

A trapezoid has an area of 42 square miles. One base is 4 miles long. The height measures 6 miles. What is the length of the oth

er base?
Mathematics
1 answer:
loris [4]3 years ago
7 0

The length of other base of trapezoid is 10 miles

Step-by-step explanation:

The formula for area of trapezoid is:

A=\frac{h}{2}(b_1+b_2)

We know that

A = 42 square miles

b_1 = 4 miles

h = 6 miles

Putting the values

42=\frac{6}{2}(4+b_2)\\42=3(4+b_2)\\42=12+3b_2\\Subtracting\ 12\ from\ both\ sides\\42-12=12+3b_2-12\\3b_2=30\\Dividing\ both\ sides\ by\ 3\\\frac{3b_2}{3}=\frac{30}{3}\\b_2=10\ miles

The length of other base of trapezoid is 10 miles

Keywords: Area of trapezoid

Learn more about area at:

  • brainly.com/question/4847829
  • brainly.com/question/4892332

#LearnwithBrainly

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the base of the founten is rectangular . its dimention 1 2/3 feet by 2 2/3 feet . what is the area of the base of the founten
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Need help with this, simple but I don't understand/remember how to do it.
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By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>

Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:

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Then, we proceed to solve the system formed by two equations:

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By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

To learn more on right triangles: brainly.com/question/6322314

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Answer:

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Step-by-step explanation:

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