Respuesta :

Answer:

area of shaded: 30 m²

Explanation:

  • Here triangle is inscribed in a rectangle.
  • Rectangle area: Length * Width
  • Triangle area: (1/2) * base * height
  • The triangle here is shaded.

Steps:

Rectangle area: 6 * 10 = 60 m²

Triangle area: (1/2) * 6 * 10 = 30 m² .......this is the area of shaded.

Answer:

30m²

Step-by-step explanation:

Let's derive the area of a triangle

We know the formula for the area of a rectangle:

  • [tex]\text{A = l * w}[/tex]

Here, we can see that the area of the triangle is the rectangle's are divided by 2, or half of the rectangle's area.

Here's the formula for the area of a triangle:

  • [tex]\text{A} = \frac{1}{2}\text{b * h}[/tex]

B is the base, the same as the length

H is the height, the same as the width

Solve:

  • [tex]\text{A} = \frac{1}{2}\text{b * h}[/tex]
  • [tex]\text{A} = \frac{1}{2}(10 * 6)[/tex]
  • [tex]\text{A} = \frac12(60)[/tex]
  • [tex]\text{A} = 30\\[/tex]

The units is m * m, or m²

Area = 30m²

-Chetan K