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Find the length of the second base of a trapezoid with one base measuring 15 feet, a height of 7.6 feet, and an area of 98.8 square feet

answer choices
9 ft

10 ft

11 ft

12 ft

Respuesta :

fieryanswererft

Answer:

11 feet

Explanation:

  • area of trapezoid: 1/2 * (a + b) * h

Here given:

  • a = 15 feet
  • height = 7.6 feet
  • area = 98.8 feet²

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Solving steps:

⇒ 1/2 * (15 + b) * 7.6 = 98.8

⇒ (15 + b) * 7.6 = 197.6

⇒ (15 + b) = 26

⇒ b = 11 ft
  • Area =1/2(Sum of parallel sides)(Height)

Let unknown be x

  • 1/2(x+15.5)(7.6)=98.8
  • 3.8(x+15.5}=98.8
  • x+15.5=26
  • x=26 .03-15.5
  • x=10.53
  • x≈11ft