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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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Answer:

4. 50,000 square miles

5. The office would round to $800,000 instead of $700,000 because they would lose that needed $35,495. If they rounded down, their budget would be cut short, and they won’t have enough money for the office.

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8.584,000

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Step-by-step explanation:

4. In this question, we’re rounding the number, “54,555” go the nearest ten thousand. When rounding numbers you look at the number next to the digit your rounding. In this case, since the second number is not 5 or higher, we round it to 50,000 as that’s closer than 60,000.

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