Question

What is the area of the shaded triangle?

steps please

Answer 1

30m²

Step-by-step explanation:

Let's derive the area of a triangle

We know the formula for the area of a rectangle:

• 
  `\text{A = l * w}`

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:

• 
  `\text{A} = (1)/(2)\text{b * h}`

B is the base, the same as the length

H is the height, the same as the width

Solve:

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

The units is m * m, or m²

Area = 30m²

-Chetan K

Answer 2

area of shaded: 30 m²

Step-by-step 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.