Area between two rectangles

Key Notes :

🟦 Area Between Two Rectangles 📐

1️⃣ What is Area?

• Area = The space inside a shape.
• Formula for a rectangle:

Area=Length×Breadth (A=l×b)\text{Area} = \text{Length} \times \text{Breadth} \, (A = l \times b) Area=Length×Breadth(A=l×b)

• 🖍️ Example: A rectangle 5 cm × 3 cm → Area = 5 × 3 = 15 cm² ✅

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2️⃣ Understanding “Area Between Two Rectangles” 🏠➖🏠

• Sometimes, we have one big rectangle and one smaller rectangle inside it.
• The area between them = Area of big rectangle − Area of small rectangle

Area Between=Area of Big Rectangle−Area of Small Rectangle\text{Area Between} = \text{Area of Big Rectangle} – \text{Area of Small Rectangle}Area Between=Area of Big Rectangle−Area of Small Rectangle

• 🎨 Think of it like coloring the border around the smaller rectangle.

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3️⃣ Steps to Find Area Between Two Rectangles ✏️

• Measure length and breadth of the big rectangle 📏
• Measure length and breadth of the small rectangle 📐
• Calculate area of big rectangle Abig=l×bA_{big} = l \times bAbig​=l×b 🟩
• Calculate area of small rectangle Asmall=l×bA_{small} = l \times bAsmall​=l×b 🟦
• Subtract: Area Between=Abig−Asmall\text{Area Between} = A_{big} – A_{small}Area Between=Abig​−Asmall​ ➖

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4️⃣ Example 🌟

• Big rectangle: 10 cm × 6 cm → Area = 60 cm²
• Small rectangle inside: 4 cm × 3 cm → Area = 12 cm²
• Area between rectangles = 60 − 12 = 48 cm² ✅

💡 Tip: Always check units (cm², m², etc.)

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5️⃣ Fun Visual Tip 🎨

• Draw the big rectangle in one color 🟩
• Draw the small rectangle inside in another color 🟦
• Shade the remaining part to see the area between clearly ✏️✨

Learn with an example

Let’s practice!🖊️