1. The problem asks to find the cost of a triangular lot with sides 140 ft, 65 ft, and 111 ft, given the price is 3 per square foot.
2. To find the cost, we first need the area of the triangle. We use Heron's formula for the area of a triangle with sides $a$, $b$, and $c$:
$$s = \frac{a+b+c}{2}$$
$$\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}$$
3. Calculate the semi-perimeter $s$:
$$s = \frac{140 + 65 + 111}{2} = \frac{316}{2} = 158$$
4. Calculate the area:
$$\text{Area} = \sqrt{158(158-140)(158-65)(158-111)} = \sqrt{158 \times 18 \times 93 \times 47}$$
5. Compute the product inside the square root:
$$158 \times 18 = 2844$$
$$2844 \times 93 = 264492$$
$$264492 \times 47 = 12491124$$
6. Take the square root:
$$\text{Area} = \sqrt{12491124} \approx 3533.63 \text{ square feet}$$
7. Calculate the cost:
$$\text{Cost} = \text{Area} \times 3 = 3533.63 \times 3 = 10600.89$$
**Final answer:** The lot costs approximately 10600.89.
Triangular Lot Cost 1C6813
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