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The area of the trapezoidal tarp in the hotel is 47.3 square inches.
What is a trapezoid?
- A trapezoid is a quadrilateral having one pair of parallel opposite sides.
- It can have right angles (a right trapezoid) and congruent sides (isosceles), but neither is needed.
How do determine the area of the trapezoid?
- The area of a trapezoid is calculated using:
- Area = 0.5 × (Sum of parallel sides) × Height
From the complete question, the parallel sides are 10ft and 12ft.
- So, Area = 0.5 × (10 + 12) × h
Evaluate,
- Area = 11 × h
The height (h) is computed using the cosine function shown below:
- cos(120 - 90) = h/5
This gives
- cos(30) = h/5
Make h the subject:
- h = 5cos(30)
Evaluate:
- h = 4.3
So, we get:
- Area = 11 × 4.3
Evaluate:
- Area = 47.3
Therefore, the area of the trapezoidal tarp in the hotel is 47.3 square inches.
Know more about trapezoids here:
https://brainly.com/question/1410008
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The complete question is given below:
A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45, or 120. this means the height of the trapezoid is approximately 2.5,4.3, or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.
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