Calculate Triangle Area

The area of a triangle is calculated using the formula:

$ \text{Area}_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} $

Given: base = 40 m, height = 30 m.

$ \text{Area}_{\text{triangle}} = \frac{1}{2} \times 40 \text{ m} \times 30 \text{ m} = 600 \text{ m}^2 $

Calculate Rectangle Area

The area of a rectangle is calculated using the formula:

$ \text{Area}_{\text{rectangle}} = \text{length} \times \text{breadth} $

Given: length = 40 m, breadth = 25 m.

$ \text{Area}_{\text{rectangle}} = 40 \text{ m} \times 25 \text{ m} = 1000 \text{ m}^2 $

Calculate Combined Area

The combined area is the sum of the triangle's area and the rectangle's area.

$ \text{Combined Area} = \text{Area}_{\text{triangle}} + \text{Area}_{\text{rectangle}} $

$ \text{Combined Area} = 600 \text{ m}^2 + 1000 \text{ m}^2 = 1600 \text{ m}^2 $

Calculate Triangle Area Percentage

The percentage of the triangle's area in the total combined area is:

$ \text{Percentage} = \frac{\text{Area}_{\text{triangle}}}{\text{Combined Area}} \times 100\% $

$ \text{Percentage} = \frac{600 \text{ m}^2}{1600 \text{ m}^2} \times 100\% $

$ \text{Percentage} = \frac{6}{16} \times 100\% = \frac{3}{8} \times 100\% = 37.5\% $

Final Answer Summary

The combined area is $1,600 \text{ m}^2$ and the triangle’s area percentage in the total is $37.5\%$.