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40 votes
HELP HELP I GIVE BRANLISEST

HELP HELP I GIVE BRANLISEST-example-1
User Cucko
by
2.8k points

2 Answers

17 votes
17 votes

Area of triangle:-

  • 1/2(6)(12)
  • 6(6)=36cm²

Area of rectangle (Including semicircle)

  • 12(21)
  • 252cm²

Area of semicircle

  • πr²/2
  • π(6)²/2
  • 18πcm²
  • 56.52cm²

TOTAL area:-

  • 36+252-56.52
  • 288-56.52
  • 231.48cm²
HELP HELP I GIVE BRANLISEST-example-1
User Paul Moore
by
2.7k points
7 votes
7 votes

Answer:

231.48 cm²

Explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

User Ryan Erb
by
2.6k points
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