Question

click or touch the the graph to plot points. find the base and height of a rectangle with vertices $(-4,7),(-2,7),(-2,1)$, and $(-4,1)$. the height is units. the base is units.

Explanation:

Step1: Calculate the base

For points \((-4,7)\) and \((-2,7)\) (same \(y -\)coordinate), use the distance formula for horizontal distance \(d=\vert x_2 - x_1\vert\).
\(\vert-2-(-4)\vert=\vert-2 + 4\vert=2\)

Step2: Calculate the height

For points \((-2,7)\) and \((-2,1)\) (same \(x -\)coordinate), use the distance formula for vertical distance \(d=\vert y_2 - y_1\vert\).
\(\vert1 - 7\vert=\vert-6\vert=6\)

Answer:

The height is \(6\) units.
The base is \(2\) units.