What is the Area Between Two Rectangles?
When we have one rectangle inside another, the area between them is like a
picture frame!
To find this area, we calculate the area of the big rectangle, subtract the area of the small rectangle
inside it, and voilà - we have the area of the frame!
How to Calculate It
1️⃣ Find the area of the outer rectangle (length × width)
2️⃣ Find the area of the inner rectangle (length × width)
3️⃣ Subtract the inner area from the outer area
Let's Try Some Examples!
Example 1: Picture Frame
Imagine a picture frame where the outer rectangle is 10cm by 8cm, and the picture inside is 7cm by 5cm. What's the area of the frame?
Outer rectangle area: 10cm × 8cm = 80 cm²
Inner rectangle area: 7cm × 5cm = 35 cm²
Frame area = Outer - Inner = 45 cm²
Example 2: Swimming Pool Walkway
A rectangular pool is 20m by 15m, surrounded by a walkway that makes the outer rectangle 25m by 20m. What's the area of the walkway?
Parent Tips 🌟
- Real-world connections: Point out rectangular frames around your home (picture frames, windows, doors) and calculate the border area together.
- Hands-on practice: Use graph paper to draw rectangles and physically count the squares between them.
- Make it a game: Challenge your child to find the largest possible area between two rectangles with the same perimeter.