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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 Ă— 50)(2+ 50) x 25(2x 50) + (2 x 25)(2+50) x (2 + 25)

User VitalyT
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1 Answer

4 votes

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.

User Harsh Gundecha
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6.1k points
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