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The Shah family basement floor is shaped like a tropezoidal. The basement has sides of 36 feet and 24 feet and two sides of 21 feet. They are going to carpet the basement. The carpeting will cost $35 per square yard. What is the area, in square feet, of the basement floor?​

Sagot :

The area in square feet of the the basement floor that is trapezoidal is  603.6 feet square.

Area of a trapezium

area = 1 / 2 (a + b)h

where

  • a and b are the base of the trapezium
  • h = height of the trapezium.

Therefore,

a = 24 ft

b = 36 ft

h² = 21² - 6²

h² = √405

h = 20.1246117975

h = 20.12 ft

Therefore,

area = 1 / 2 (24 + 36)20.12

area = 603.6 ft² = 67.066667 yard²

Therefore,

1 yard² = $35

67.1 yard² = ?

cost of carpeting = 35 × 67.1 = $2348.5

learn more on trapezium here: https://brainly.com/question/8591668

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