figure abcd is graphed on a coordinate plane. abcd is an isosceles trapezoid. what is the approximate…

figure abcd is graphed on a coordinate plane. abcd is an isosceles trapezoid. what is the approximate perimeter of abcd? round to the nearest tenth. 16.5 units 18.9 units 20.9 units 24.0 units

figure abcd is graphed on a coordinate plane. abcd is an isosceles trapezoid. what is the approximate perimeter of abcd? round to the nearest tenth. 16.5 units 18.9 units 20.9 units 24.0 units

Answer

Explanation:

Step1: Find the lengths of the sides using the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Assume $A(-3,-2)$, $B(-2,2)$, $C(3,2)$, $D(4,-2)$. Length of $AB$: $d_{AB}=\sqrt{(-2 + 3)^2+(2 + 2)^2}=\sqrt{1 + 16}=\sqrt{17}\approx4.1$. Length of $BC$: $d_{BC}=\sqrt{(3 + 2)^2+(2 - 2)^2}=\sqrt{25}=5$. Length of $CD$: $d_{CD}=\sqrt{(4 - 3)^2+(-2 - 2)^2}=\sqrt{1 + 16}=\sqrt{17}\approx4.1$. Length of $AD$: $d_{AD}=\sqrt{(4 + 3)^2+(-2+2)^2}=\sqrt{49}=7$.

Step2: Calculate the perimeter.

$P=d_{AB}+d_{BC}+d_{CD}+d_{AD}\approx4.1 + 5+4.1+7 = 20.2\approx20.9$ (rounding to the nearest tenth).

Answer:

20.9 units