Lot Dimensions
1. **Stating the problem:** Amar wants to find the dimensions (length and width) of a rectangular lot. The perimeter is 2300 feet.
2. **Identify variables:** Let the length be $x$ feet.
3. The width is 350 feet longer than the length, so width = $x+350$ feet.
4. **Using the perimeter formula:** $$P = 2(\text{length} + \text{width})$$
Given $$P = 2300$$, substitute:
$$2300 = 2(x + x + 350)$$
5. **Simplify the equation:**
$$2300 = 2(2x + 350)$$
$$2300 = 4x + 700$$
6. **Solve for $x$:**
$$4x = 2300 - 700$$
$$4x = 1600$$
$$x = \frac{1600}{4} = 400$$
7. **Calculate the width:**
$$x + 350 = 400 + 350 = 750$$
8. **Answer:** The dimensions of the lot are length = 400 feet and width = 750 feet, represented as the ordered pair $(400,750)$.