Question

27.) Find the sum of the length of line segments EF and CD

Answer 1

Answer:

5√10

Step-by-step explanation:

The distance between two points A($x_1,y_1$) and B($x_2,y_2$) on the coordinate plane is given by:

$|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }$

From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).

Hence the lengths of the line segment EF and CD are:

$|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}$