Question

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

Explanation:

Step1: Identify base and height

From the graph, assume base is the horizontal distance from F to G and height is the vertical distance from G to H. Counting the grid - squares, the length of the base (FG) is \(10 - (- 9)=19\) units and the height (the vertical distance from G to H) is \(6 - 4 = 2\) units.

Step2: Apply area formula for a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Substitute base = 19 and height = 2 into the formula: \(A=\frac{1}{2}\times19\times2\).

Step3: Calculate the area

\(A=\frac{1}{2}\times19\times2=19\).

Answer:

19