Question

use the image to answer the question
use the coordinates to compute the perimeter of the trapezoid round each calculation to the nearest tenth
(1 point)
14.4 units
12.3 units
16.3 units
13.8 units

Explanation:

Step1: Find the length of each side

• Side \(AD\):

Using the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\), for \(A(0,0)\) and \(D(1,3)\)

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• Side \(DC\):

For \(D(1,3)\) and \(C(4,3)\), since \(y\)-coordinates are the same, \(DC=\vert4 - 1\vert = 3\)

• Side \(CB\):

For \(C(4,3)\) and \(B(5,0)\)

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• Side \(BA\):

For \(B(5,0)\) and \(A(0,0)\), since \(y\)-coordinates are the same, \(BA=\vert5 - 0\vert = 5\)

Step2: Calculate the perimeter

Perimeter \(P=AD + DC+CB + BA\)

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Answer:

14.4 units