Scenario: Home Design - Plan your dream room using area and perimeter calculations!
You're designing a rectangular bedroom that is 12 feet long and 10 feet wide. You want to install carpet and baseboards around the room.
Questions:
1. How much carpet do you need? (Area)
2. How much baseboard do you need? (Perimeter)
Visual representation of the bedroom
Step 1: Calculate the area (carpet needed)
Area = length × width
Area = 12 ft × 10 ft = 120 square feet
Step 2: Calculate the perimeter (baseboard needed)
Perimeter = 2(length + width)
Perimeter = 2(12 + 10) = 2(22) = 44 feet
Answer: You need 120 square feet of carpet and 44 feet of baseboard.
A = l × w
Area = length × width
Units: square units (ft², m², etc.)
P = 2(l + w)
Perimeter = 2 × (length + width)
Units: linear units (ft, m, etc.)
An L-shaped room consists of two rectangles: one 8 ft × 6 ft and another 4 ft × 6 ft. Find the total area and perimeter.
Step 1: Calculate area of each rectangle
Rectangle 1: 8 × 6 = 48 ft²
Rectangle 2: 4 × 6 = 24 ft²
Total Area: 48 + 24 = 72 ft²
Step 2: Calculate perimeter (outer edges only)
Outer perimeter: 8 + 6 + 4 + 6 + 4 + 6 = 34 ft
A rectangular garden is 15 meters long and 8 meters wide. Find the area and perimeter.
Your solution:
A rectangular pool has an area of 200 square feet and a width of 10 feet. What is its length and perimeter?
Your solution: