Certainly! Let's break down the solution step-by-step to find the cost of clearing the land.
### Step 1: Identify Given Values
We have the following given values:
1. Cost to clear the land per square meter: 26.25 currency units (e.g., dollars)
2. Length of the field: 17.75 meters
3. Breadth (width) of the field: 16.15 meters
### Step 2: Calculate the Area of the Field
The shape of the field is rectangular. To find the area of a rectangle, you multiply the length by the breadth.
[tex]\[
\text{Area} = \text{Length} \times \text{Breadth}
\][/tex]
Substituting our given values:
[tex]\[
\text{Area} = 17.75 \, \text{meters} \times 16.15 \, \text{meters} = 286.6625 \, \text{square meters}
\][/tex]
### Step 3: Calculate the Total Cost of Clearing the Land
To find the total cost, we multiply the area of the field by the cost per square meter.
[tex]\[
\text{Total Cost} = \text{Area} \times \text{Cost per square meter}
\][/tex]
Substituting our calculated area and given cost per square meter:
[tex]\[
\text{Total Cost} = 286.6625 \, \text{square meters} \times 26.25 \, \text{currency units per square meter} = 7524.89 \, \text{currency units}
\][/tex]
### Conclusion
The area of the rectangular field is 286.6625 square meters. The total cost to clear this piece of land at a rate of 26.25 currency units per square meter is 7524.89 currency units.
