Question

answer attempt 1 out of 2 area = square units submit answer

Explanation:

Step1: Find the length of the base

The base of the rectangle (horizontal side) can be found by calculating the difference in \(x -\)coordinates. If we assume points \(B\) and \(C\) (or \(A\) and \(D\) for the vertical side). Let's take \(B\) at \(x = 4\) and \(A\) at \(x=- 1\). The length of the base \(b\):
\(b=\vert4-(-1)\vert = 5\) units.

Step2: Find the length of the height

The height of the rectangle (vertical side) can be found by calculating the difference in \(y -\)coordinates. Let's take \(A\) at \(y = 4\) and \(D\) at \(y=-2\). The height \(h\):
\(h=\vert4 - (-2)\vert=6\) units.

Step3: Calculate the area of the rectangle

The area formula for a rectangle is \(A=b\times h\). Substitute \(b = 5\) and \(h = 6\) into the formula:
\(A=5\times6=30\)

Answer:

\(30\)