Question

what is a simplified expression for the perimeter of the polygon?
complete
if ( x = 3 ) in. and ( y = 4 ) in., what is the perimeter of the polygon?
retry
in.
diagram not drawn to scale.

Explanation:

Step1: Substitute \(x = 3\) and \(y = 4\) into the perimeter expression \(5x^{2}+y^{2}+3x + 4y\)

Substitute \(x\) and \(y\) values:
\(5\times(3)^{2}+(4)^{2}+3\times3+4\times4\)

Step2: Calculate each term

• Calculate \(5\times(3)^{2}\): \(5\times9 = 45\)
• Calculate \((4)^{2}\): \(16\)
• Calculate \(3\times3\): \(9\)
• Calculate \(4\times4\): \(16\)

Step3: Sum up the terms

\(45+16 + 9+16\)
\(= (45+16)+(9 + 16)\)
\(=61+25\)
\(=86\)

Answer:

\(86\)