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What is the perimeter of the composite figure? Round to the nearest tenth

What is the perimeter of the composite figure? Round to the nearest tenth-example-1

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The perimeter of ABCDEF is 125.5 units.

The vertices of the composite figure are labeled A through F.

Thus, Perimeter of ABCDEF = AB+BC+CD+DE+EF+FA

AB= |-12-6| = 18 units

BC = |-12-3| = 15 units

CD= |6 - 15| = 9 units

DE = √(x2-x1)2+(y2-y1)²

= √(24-15)² + (18-3)²

= √9² +15² √81 +225

= √306

= 17.5units

EF = |-12 -24|= 36 units

FA= |-12-18| = 30 units

Thus, Perimeter of ABCDEF = 18 + 15 + 9 + 17.5 +36 + 30 = 125.5 units

User HGomez
by
7.3k points
6 votes

Answer:

125.5 units

Explanation:

The vertices of the composite figure has been named A to F.

*See attachment below.

Thus, Perimeter of ABCDEF =
\overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA}


\overline{AB} = |-12 - 6| = 18 units


\overline{BC} = |-12 - 3| = 15 units


\overline{CD} = |6 - 15| = 9 units


\overline{DE} = √((x_2 - x_1)^2 + (y_2 - y_1)^2) = √((24 - 15)^2 + (18 - 3)^2) = √(9^2 + 15^2) = √(81 + 225) = √(306) = 17.5 units


\overline{EF} = |-12 - 24| = 36 units


\overline{FA} = |-12 - 18| = 30 units

Thus, Perimeter of ABCDEF = 18 + 15 + 9 + 17.5 + 36 + 30 = 125.5 units

What is the perimeter of the composite figure? Round to the nearest tenth-example-1
User Radha Gogia
by
7.9k points

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