Respuesta :
To help Bimala, we need a few things:
* **The image of the trapezium:** This is essential to determine the dimensions (like the lengths of the parallel sides and height).
* **Assumptions:** Since we don't have the picture, we'll have to make some assumptions about the shape of the trapezium.
Here's how we can tackle this problem, assuming a standard trapezium shape:
**a) Formula for area of the well:**
* **Well shape:** We'll assume the well is circular.
* **Area of a circle:** The formula is π * r², where 'π' (pi) is approximately 3.14 and 'r' is the radius of the circle.
* **Radius from diameter:** Radius is half the diameter, so radius = 1.4 meters / 2 = 0.7 meters
**b) Area of the land excluding the well:**
1. **Formula for the area of a trapezium:** ½ * (sum of parallel sides) * (height)
2. **Measurements needed:**
* Length of the top parallel side (let's call it 'a')
* Length of the bottom parallel side (let's call it 'b')
* Height: the perpendicular distance between the parallel sides (let's call it 'h')
3. **Calculate the trapezium area:** Once you have 'a', 'b', and 'h' from the image, plug them into the formula.
4. **Subtract the well's area:** Take the result from part (a) and subtract it from the total trapezium area to find the area of the land without the well.
**c) Is 190 meters of fencing enough?**
1. **Calculate the perimeter:**
* Add up the lengths of all the sides of the trapezium _excluding_ the well.
* You'll need the lengths of the non-parallel sides from the image as well.
2. **Compare to the fence length:**
* If the perimeter is less than 190 meters, Bimala has enough fence.
* If the perimeter is more than 190 meters, the fence is not enough.
**Example (Make sure to replace the placeholder values with the actual measurements from the figure):**
Let's say the trapezium has these measurements:
* a (top side) = 10 meters
* b (bottom side) = 15 meters
* h (height) = 8 meters
**Calculations:**
* **Area of the well:** 3.14 * (0.7 meters)² = 1.54 square meters (approximately)
* **Area of the trapezium:** ½ * (10 + 15) * 8 = 100 square meters
* **Area of land (excluding well):** 100 - 1.54 = 98.46 square meters (approximately)
Let's assume the two non-parallel sides of the trapezium are each 6 meters long
* **Perimeter:** 10 + 15 + 6 + 6 = 37 meters
* **Enough fencing?** Yes, since the perimeter (37m) is much less than 190 meters of fencing.
**Important:** Get the actual measurements from the image of the trapezium, and adjust the calculations accordingly!
