what is the area of triangle qrs?\n7 square units\n9 square units\n10 square units\n13 square units

Explanation:

Step1: Identify base and height

Count the length of the base and height on the grid. Let's consider the base along the vertical - like line and height along the horizontal - like line. The base of triangle QRS can be considered as the vertical distance between points Q and R. The y - coordinate of Q is 2 and the y - coordinate of R is - 4, so the length of the base $b=2-(-4)=6$ units. The horizontal distance from the point S to the line containing QR is the height. The x - coordinate of S is - 2 and the x - coordinate of the vertical line through Q and R is 0, so the height $h = 3$ units.

Step2: Apply area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Substitute $b = 6$ and $h=3$ into the formula: $A=\frac{1}{2}\times6\times3$. $A = 9$ square units.

Answer:

9 square units