Find the area of the shaded region. All angles are right angles.

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Answer:

166 m^2

Step-by-step explanation:

Break the diagram into 3 rectangles:

rectangle 1 has 5 m width and 9 m length

rectangle 2 has 19 m width and 4 m length

rectangle 3 has 5 m width and 9 m length

area of rectangle 1 = l * w = 9m * 5m = 45 m^2

area of rectangle 2 = l * w = 4m * 19m = 76 m^2

area of rectangle 3 = l * w = 9m * 5m = 45 m^2

total area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

= 45m^2 + 76 m^2 + 45 m^2

= 166m^2

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