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STatiana [176]
1 year ago
5

Find the area of the shaded region below. Give your answer in terms of T. 12m 5m

Mathematics
1 answer:
Step2247 [10]1 year ago
7 0

The area of the shaded region is [(169π/4)-60]m².

  • The length of the rectangle is 12 m.
  • The breadth of the rectangle is 5 m.
  • The area of the rectangle = length * breadth.
  • The area of the rectangle = 12 * 5
  • The area of the rectangle = 60m²
  • Let h be the diagonal of the rectangle.
  • Using the Pythagorean theorem,
  • h² = 12² + 5²
  • h² = 144 + 25
  • h² = 169
  • h = √169
  • h = 13
  • The diagonal of the rectangle is also the diameter of the circle.
  • Let r be the radius of the circle.
  • 2r = 13
  • r = 13/2m
  • The area of the circle is πr².
  • The area of the circle = π(13/2)²
  • The area of the circle = (169π/4)m²
  • The area of the shaded region equals the area of the circle minus the area of the rectangle.
  • The area of the shaded region = [(169π/4) - 60]m²

To learn more about area, visit :

brainly.com/question/27683633

#SPJ9

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Answer:

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Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

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Should end up with this:

17x=-60-(6+5x)

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Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

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1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

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