Martin's backyard has a perimeter of 100 feet. If the length of the yard is 35 feet, what is the widtt of Martin's backyard?

Question

UpStudy AI · Accepted Answer

To determine the width of Martin's backyard, we'll assume that the backyard is rectangular. Here's how you can calculate it:

**Given:**
- **Perimeter (P)** = 100 feet
- **Length (L)** = 35 feet
- **Width (W)** = ?

**Formula for the perimeter of a rectangle:**
$$ P = 2 \times (L + W) $$

**Plugging in the known values:**
$$ 100 = 2 \times (35 + W) $$

**Step-by-Step Calculation:**

1. **Divide both sides by 2:**
   $$
   \frac{100}{2} = 35 + W
   $$
   $$
   50 = 35 + W
   $$

2. **Subtract 35 from both sides to solve for $$ W $$:**
   $$
   50 - 35 = W
   $$
   $$
   W = 15 \text{ feet}
   $$

**Answer:**
The width of Martin's backyard is **15 feet**.
The width of Martin's backyard is 15 feet.

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