Question

use the coordinates to compute the approximate area of the rectangle. round your answer to the nearest number. (1 point) units²

Explanation:

Step1: Find the length of the base

The base length is the difference in x - coordinates. Let \(x_1 = 4\), \(x_2=10\). The base \(b=x_2 - x_1\).
\[b = 10 - 4=6\]

Step2: Find the height of the rectangle

The height length is the difference in y - coordinates. Let \(y_1 = 2\), \(y_2 = 4\). The height \(h=y_2 - y_1\).
\[h=4 - 2 = 2\]

Step3: Calculate the area of the rectangle

The area formula of a rectangle is \(A=b\times h\).
\[A=6\times2 = 12\]

Answer:

12