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alexgriva [62]
2 years ago
10

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Mathematics
2 answers:
Evgen [1.6K]2 years ago
5 0

315 m²

<u><em>area of rec + area of rec + area of rec +  area of triangle</em></u>

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

makvit [3.9K]2 years ago
4 0

Answer:

<u>315 m²</u>

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

<u>Area</u>

  • Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle
  • 6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)
  • 60 + 15 x 9 + 90 + 6 x 5
  • 60 + 135 + 90 + 30
  • 180 + 135
  • <u>315 m²</u>
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Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

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Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

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Hence, x = 4y - 17 = 12 - 17 = -5

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