Q67. - Algebra 2

Question

BASKETBALL

Use the diagram of an NCAA basketball court below.

Evaluate the expression from Exercise 66 using the Distributive Property. What is the area of an NCAA basketball court?

Step-by-Step Solution

Answer

Expression from exercise 66 results into 4700 

Area of an NCAA basketball court is $4700$sq. ft. 

Step 1 - Observations from image

Breadth of the basketball court is 50 ft

Length of the half side of basketball court is 47 ft each.

Step 2 - Write expression from question 66

Since, expression from question 66 using distributive property is

$A=\left(47+47\right)\times 50$

To evaluate this expression, first simplify parentheses then multiply resultant numbers

$\begin{array}{c}A=\left(94\right)\times 50\\ =4700\end{array}$

Step 3 - Area of an NCAA basketball court

Since, expression above represents area of an NCAA basketball court. So its area is 

$A=4700\text{ sq. ft.}$