Question

rectangular swimming pool at a community center is 50 meters long and 25 meters wide, as shown below.If the expression? 2x (25 + 50) can be used to find the perimeter of the pool, which expression for finding the perimeter is also correct?2+ (25 × 50)(2+ 50) x 25(2x 50) + (2 x 25)(2+50) x (2 + 25)

Answer 1

In order to find an equivalent expression, we can use the distributive property of multiplication:

$a\cdot(b+c)=a\cdot b+a\cdot c$

So, for the given expression, we have:

$\begin{gathered} 2\cdot(25+50) \\ =(2\cdot25)+(2\cdot50)\to\text{distributive property of multiplication} \\ =(2\cdot50)+(2\cdot25)\to\text{associative property of addition} \end{gathered}$

Looking at the options, the correct option is the third one.