Question

finding area on a coordinate plane click or touch the the graph to plot points. what is the area of a rectangle with vertices $(-1,-4),(-1,6),(3,6)$, and $(3,-4)$? 16 square units 36 square units 24 square units 40 square units

Explanation:

Step1: Calculate the length

Use the distance formula for vertical or horizontal lines. For the vertical side (same \(x\)-coordinate \(-1\)), the length \(l=\vert6 - (- 4)\vert=\vert6 + 4\vert = 10\). For the horizontal side (same \(y\)-coordinate \(6\)), the length \(w=\vert3-(-1)\vert=\vert3 + 1\vert=4\).

Step2: Calculate the area

The area formula of a rectangle is \(A = l\times w\). Substitute \(l = 10\) and \(w = 4\) into the formula, \(A=10\times4\).

Answer:

40 square units