Tina wants to install a square hot tub in her backyard. The backyard is 10feet by 50 feet, and the hot tub will be 8 feet of the backyard that will not be covered by the hot tub

436 square feet will not be provided for

Step-by-step explanation:

In this question, what we are simply asked to do is to calculate the area of the backyard that would be left after installing a square Hottub.

To get the answer here, what is necessary to do is to subtract the area of the square hot tub from the area of the rectangular yard.

Mathematically, the area of the mathematical yard would be : length * width: the length here is 10 feet and the width is 50 feet.

The area is thus 10 * 50 = 500 square feet

Now, we calculate the area of the square hottub = S^2 where S is the length of the side of the square. In this particular case, S = 8. The area of the square is thus; 8 * 8 = 64 square feet

Now the area left uncovered would now be; 500 sq feet - 64 square feet = 436 square feet