Question

finding distance across two quadrants click or touch the the graph to plot points. reset plot a rectangle with vertices $(-1,-4)$, $(-1,6)$, $(3,6)$, and $(3,-4)$. what is the length of the base of the rectangle? units

Explanation:

Step1: Identify the coordinates of the base endpoints

The base of the rectangle has endpoints \((-1, - 4)\) and \((3,-4)\).

Step2: Use the distance formula for points with the same \(y\) - coordinate

The distance formula for two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\vert x_2 - x_1\vert\) when \(y_1 = y_2\). Here \(x_1=-1\), \(x_2 = 3\), \(y_1=y_2=-4\).
So \(d=\vert3-(-1)\vert=\vert3 + 1\vert\).

Step3: Calculate the absolute value

\(\vert3 + 1\vert=\vert4\vert = 4\).

Answer:

\(4\)