Question 20 of 21intermediate✨ CreateDiagram3 marks

Draw a rectangle of size 12 units × 8 units. Draw another rectangle inside it, without touching the outer rectangle that occupies exactly half the area.

Correct Answer

The outer rectangle has area = 12×812 \times 8 = 96 sq units. Half of this area is 48 sq units. An inner rectangle with area 48 sq units could have dimensions 6×86 \times 8 or 12×412 \times 4 or other combinations. The inner rectangle should be drawn with a gap from all sides of the outer rectangle.

Exercise: Figure it Out (Section 6) | Q: 7 | (Page Page 21)
For More Understanding

Explanation

First calculate half the area of the outer rectangle (96 ÷ 2 = 48 sq units). Then draw an inner rectangle with area 48 sq units, ensuring it doesn't touch the outer rectangle. Possible dimensions include 6×86 \times 8, 12×412 \times 4, or other factor pairs of 48.

Solution Steps

  1. Step 1: Area of outer rectangle = 12×812 \times 8 = 96 sq units

  2. Step 2: Half area = 96 ÷ 2 = 48 sq units

  3. Step 3: Choose dimensions for inner rectangle with area 48 (e.g., 6×86 \times 8, 12×412 \times 4, etc.)

  4. Step 4: Draw inner rectangle with gap from outer rectangle on all sides

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