Question

BASKETBALL

Use the diagram of an NCAA basketball court below.

66. Illustrate the Distributive Property by writing two expressions for the area of the basketball court.

Short answer

Two expressions to represent the area are

$\left(47\times 50\right)+\left(47\times 50\right)$ and $\left(47+47\right)\times 50$

Step-by-step solution

- Observations from image

Breadth of the basketball court is 50 ft

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

- Write first expression 

Since, Area (A) of a court with given length (l) and breadth (b) is

$A=l\times b$

So area of given court is sum of area of two half sides

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

- Write second expression

For any real numbers a, b, and c distributive property is

$a\left(b+c\right)=ab+ac\text{and}\left(b+c\right)a=ba+ca$

For second expression, use distributive property in first expression

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