Question

Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed

Answer 1

• 72 square units

Explanation:

Consider the figure as the difference of a trapezoid and a rectangle.

Area of the trapezoid:

• a = 3 - (-2) = 5 units
• b = 9 - (-6) = 15 units
• h = 5 - (-5) = 10 units
• A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units

Area of the rectangle:

• l = 5 - (-2) = 7 units
• w = -1 - (-5) = 4 units
• A = lw = 4*7 = 28 square units

Area of the figure:

• 100 - 28 = 72 square units