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3 years ago

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

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

72 square units

Step-by-step 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

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