Question

Find the area of the figure.

Answer 1

`\huge\boxed{\sf 9300\ m\²}`

Explanation:

The figure is made up of:

• A rectangle
• A triangle

Formula for area of rectangle:

• Length × Width

Formula for Area of triangle:

• 
  `\displaystyle =(1)/(2) (Base)(Height)`

Area of rectangle:

Length = 90 m

Width = 70 m

= Length × Width

= 90 × 70

= 6300 m²

Area of Triangle:

Base = 170 - 70 = 100 m

Height = 90 - 30 = 60 m

`\displaystyle =(1)/(2) (Base)(Height)\\\\= (1)/(2) (100)(60)\\\\= (50)(60)\\\\= 3000 \ m^2`

Total Area of the figure:

= Area of the rectangle + Area of the triangle

= 6300 + 3000

= 9300 m²

`\rule[225]{225}{2}`