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ELEN [110]
2 years ago
11

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other

base is 52 feet. The height is 18 feet. What is the area of this section of the deck?
Mathematics
1 answer:
kondor19780726 [428]2 years ago
7 0

Answer:

  • Area of section is 981 square feet

Step-by-step explanation:

<h3>Given trapezoid with:</h3>

  • Bases 57 feet and 52 feet;
  • Height 18 feet.

<h3>To find</h3>

  • Area of trapezoid

<h3>Solution</h3>

Equation of area:

  • A = (b₁ + b₂)h/2

Substitute values and calculate:

  • A = (57 + 52)*18/2 = 109*9 = 981 ft²
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And replacing the info we got:

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Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

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And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

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P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

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