Question

find the perimeter of the polygon. round your answer to the nearest tenth.

Explanation:

1. Explanation:

• Step 1: Recall the distance - formula between two points \((x_1,y_1)\) and \((x_2,y_2)\)
• The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
• Step 2: Identify the vertices of the polygon and find the lengths of each side
• Let's assume the vertices of the polygon are \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\), \(D(x_4,y_4)\), \(E(x_5,y_5)\) etc.
• For example, if two adjacent vertices are \((x_1,y_1)\) and \((x_2,y_2)\), we calculate the length of the side between them using the distance formula. Let's say one side has endpoints \((0,0)\) and \((3,4)\). Then \(d=\sqrt{(3 - 0)^2+(4 - 0)^2}=\sqrt{9 + 16}=\sqrt{25}=5\).
• Calculate the length of each side of the polygon in the same way.
• Then sum up the lengths of all the sides of the polygon.

1. Answer:

• Without the actual coordinates of the vertices clearly visible, we cannot give a numerical answer. But the general process is to use the distance formula to find the length of each side and sum them up. If we assume we have calculated the side - lengths as \(a,b,c,d,e\) etc., the perimeter \(P=a + b + c + d+e+\cdots\). After calculating and rounding to the nearest tenth, we get the final perimeter value.

Answer:

1. Explanation:

• Step 1: Recall the distance - formula between two points \((x_1,y_1)\) and \((x_2,y_2)\)
• The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
• Step 2: Identify the vertices of the polygon and find the lengths of each side
• Let's assume the vertices of the polygon are \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\), \(D(x_4,y_4)\), \(E(x_5,y_5)\) etc.
• For example, if two adjacent vertices are \((x_1,y_1)\) and \((x_2,y_2)\), we calculate the length of the side between them using the distance formula. Let's say one side has endpoints \((0,0)\) and \((3,4)\). Then \(d=\sqrt{(3 - 0)^2+(4 - 0)^2}=\sqrt{9 + 16}=\sqrt{25}=5\).
• Calculate the length of each side of the polygon in the same way.
• Then sum up the lengths of all the sides of the polygon.

1. Answer:

• Without the actual coordinates of the vertices clearly visible, we cannot give a numerical answer. But the general process is to use the distance formula to find the length of each side and sum them up. If we assume we have calculated the side - lengths as \(a,b,c,d,e\) etc., the perimeter \(P=a + b + c + d+e+\cdots\). After calculating and rounding to the nearest tenth, we get the final perimeter value.