need help!!

Question

1) In basketball, the key is a rectangle shape that measure 19 ft in Length and 12 ft in width. The key is completed buba semicircle toward midcourt, Estimate the outside perimeter of the key.

 

2) Calculate the perimeter of the key describe in question 1), Round your answer to one decimal place. Is your answer reasonable?

Answer 1

(1)

Step 1:

In basketball court, the key is a rectangle shape that measure length  and width .

Draw the diagram for basket ball key :

Find the outside perimeter of the key.

The width of the rectangle is the diameter of the semi circle.

The perimeter of the semi circle is , where  is the diameter of the semi circle.

Substitute  in .

.

Step 2:

The perimeter of rectangle is .

Substitute  and .

.

The out side perimeter of the basket ball key is .

Substitute  and  in .

.

Solution:

The out side perimeter of the basket ball key is .

Answer 2

(2)

The outside perimeter of the basket ball key is .

The perimeter of the key is .

.

.

Hence, the perimeter of the key is  is reasonable.