Question

what is the area of △vwx? area = square units

Explanation:

Step1: Identify base and height

From the graph, assume base is the horizontal distance between \(V\) and \(X\), and height is the vertical distance from \(W\) to the line segment \(VX\). The coordinates of \(V(- 6,8)\), \(X(9,8)\) and \(W(9, - 9)\). The length of the base \(b\) (distance between \(V\) and \(X\)) is \(9-(-6)=15\) units. The length of the height \(h\) (vertical distance from \(W\) to \(VX\)) is \(8 - (-9)=17\) units.

Step2: Apply area - formula for a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\). Substitute \(b = 15\) and \(h = 17\) into the formula: \(A=\frac{1}{2}\times15\times17\).
\[A=\frac{255}{2}=127.5\]

Answer:

\(127.5\)