Create a new floor plan with a master bedroom showing an area of 120 square feet and a perimeter of 44 feet
12 * 10 = 120 square feet
Perimeter =? So side =44÷4=40
As we know that the area of square=side×side =120×120=14400
To create a floor plan with a master bedroom showing an area of 120 square feet and a perimeter of 44 feet, you can start by drawing a rectangular room that satisfies these conditions.
Here's how you can calculate the dimensions and create the floor plan:
1. Determine the possible dimensions: Since the area of the master bedroom is 120 square feet, you need to find two numbers that multiply to give 120. Here are a few pairs of numbers that satisfy this condition:
- 10 * 12 = 120
- 8 * 15 = 120
- 6 * 20 = 120
- 5 * 24 = 120
2. Calculate the perimeter: To calculate the perimeter, add up all four sides of the rectangle. The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. You are given that the perimeter is 44 feet. Using this information, you can solve for L and W using the possible dimensions determined in step 1.
- For the dimensions 10 feet by 12 feet:
- 2L + 2W = 44
- 2(10) + 2(12) = 44
- Therefore, the dimensions 10 feet by 12 feet satisfy the given perimeter.
3. Create the floor plan: Now that you have the dimensions, you can draw your floor plan. Use a ruler or any software that allows you to draw to scale. Assign one unit on your drawing to represent one foot.
- Draw a rectangular room with the dimensions 10 feet by 12 feet.
- Label this room as the master bedroom.
- You can also add other rooms and features to your floor plan as desired.
Remember, the above explanation is just one example of a floor plan that satisfies the given conditions. There can be multiple valid solutions, and you can customize the floor plan further based on your preferences and other requirements.