Find the perimeter of a room which 3.5 m long and 2 m wide. Find the length of a room of perime 20 m and width 3 m .

Question

UpStudy AI · Accepted Answer

Sure, let's solve both problems step by step.

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### **Problem 1:**  
**Find the perimeter of a room that is 3.5 meters long and 2 meters wide.

**Solution:**

The perimeter $$ P $$ of a rectangular room can be calculated using the formula:
$$
P = 2 \times (\text{length} + \text{width})
$$

Given:
- Length ($$ L $$) = 3.5 meters
- Width ($$ W $$) = 2 meters

Plugging the values into the formula:
$$
P = 2 \times (3.5\, \text{m} + 2\, \text{m}) = 2 \times 5.5\, \text{m} = 11\, \text{meters}
$$

**Answer:**  
The perimeter of the room is **11 meters**.

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### **Problem 2:**  
**Find the length of a room with a perimeter of 20 meters and a width of 3 meters.

**Solution:**

Again, using the perimeter formula for a rectangle:
$$
P = 2 \times (\text{length} + \text{width})
$$

Given:
- Perimeter ($$ P $$) = 20 meters
- Width ($$ W $$) = 3 meters

Let the length be $$ L $$. Plugging the known values into the formula:
$$
20 = 2 \times (L + 3)
$$

Divide both sides by 2:
$$
10 = L + 3
$$

Subtract 3 from both sides to solve for $$ L $$:
$$
L = 10 - 3 = 7\, \text{meters}
$$

**Answer:**  
The length of the room is **7 meters**.

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Feel free to ask if you have any more questions!
The perimeter of the first room is 11 meters. The length of the second room is 7 meters.

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