Amit has a farm in the shape of a quadrilateral as shown in the figure, in which BE perp AC . DF perp AC AC = 48m BE = 30m and A DF = 25m He planted paddy on the farm on 15 ^ (th) . (a) Calculate the area of the farm. (b) Find the total cost of 3 male laborers at the rate of Rs 1000 per male laborer and 4 female laborers at the rate of Rs 2.5 per square meter for sowing the paddy in the field.

 Amit has a farm in the shape of a quadrilateral as shown in the figure, in which BE perp AC . DF perp AC AC = 48m BE = 30m and A DF = 25m He planted paddy on the farm on 15 ^ (th) .

(a) Calculate the area of the farm.

(b) Find the total cost of 3 male laborers at the rate of Rs 1000 per male laborer and 4 female laborers at the rate of Rs 2.5 per square meter for sowing the paddy in the field.

Solutions

Sure, let's start by solving for the area of the farm using the trapezium area formula:

$\text{Area}=\frac{1}{2}\times (��+��)\times ��$

Given: $��=��=30\text{m}$ $��=��=25\text{m}$ $��=48\text{m}$

$\text{Area}=\frac{1}{2}\times (30+25)\times 48$

B. Certainly, let's substitute the values and solve step by step:

1. Area of the Farm: $\text{Area}=\frac{1}{2}\times (30+25)\times 48$ $\text{Area}=\frac{1}{2}\times 55\times 48$ $\text{Area}=27.5\times 48$ $\text{Area}=1320{\text{m}}^2$

2. Cost for Male Laborers: Assuming 3 male laborers at Rs 1000 per male laborer: $\text{Cost for male laborers}=3\times 1000$ $\text{Cost for male laborers}=3000\text{Rs}$

3. Cost for Female Laborers: Assuming a rate of Rs 2.5 per square meter:

4. 1. Cost for female laborers=Area×2.5 $\text{Cost for female laborers}=1320\times 2.5$ $\text{Cost for female laborers}=3300\text{Rs}$

   2. Total Cost: $\text{Total Cost}=\text{Cost for male laborers}+\text{Cost for female laborers}$ $\text{Total Cost}=3000+3300$ $\text{Total Cost}=6300\text{Rs}$

   So, the total cost for 3 male laborers and 4 female laborers is 6300 Rs.