Question

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.

A. 81 ft^2
B. 820 ft^2
C. 840 ft^2
D. 1640 ft^2

Answer 1

Thank you for posting your question here at brainly. Feel free to ask more questions.  

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.

Answer 2

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 $=820\ ft^2$