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Architect Frank Lloyd Wright included a pool shaped like a right triangle in his design of Taliesin West in Scottsdale, Arizona. The sides of the pool that represent the legs measure 41 ft and 40 ft. Calculate the surface area of the pool.

A81 ft^2
B820 ft^2
C840 ft^2
D1640 ft^2

Verified Answer :

MissPhiladelphia

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The best and most correct answer among the choices provided by the question is B. 820 ft^2.       
    
Hope my answer would be a great help for you.

JeanaShupp

Answer: \(820\ ft^2\)

Step-by-step explanation:

Given: Architect Frank Lloyd Wright included a pool shaped like a right triangle in his design of Taliesin West in Scottsdale, Arizona.

The length of legs of right triangle shaped pool is 41 ft and 40 ft.

We know that the area of the right triangle is given by :-

\(\text{Area}=\frac{1}{2}\times(leg_1)\times(leg_2)\)

Now, the  surface area of the pool is given by :-

\(\text{Area}=\frac{1}{2}\times(41)\times(40)\\\\\Rightarrow\text{Area}=820\ ft^2\)

Hence, the surface area of the pool \(=820\ ft^2\)

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