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?

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.