Question 19 of 21intermediate🔧 ApplyDiagram3 marks

On a page in your book, draw a rectangular border that is 1 cm from the top and bottom and 1.5 cm from the left and right sides. What is the perimeter of the border?

Correct Answer

The perimeter of the border depends on the page dimensions. If the page is approximately 20 cm × 28 cm, the inner rectangle dimensions would be (20 - 3) cm × (28 - 2) cm = 17 cm × 26 cm, giving perimeter = 2 × (17 + 26) = 86 cm.

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

Explanation

The border is created by drawing a rectangle 1 cm from top and bottom (subtracting 2 cm from height) and 1.5 cm from left and right (subtracting 3 cm from width). The perimeter of this inner rectangle needs to be calculated based on the actual page dimensions.

Solution Steps

  1. Step 1: Measure the page dimensions (length and width)

  2. Step 2: Calculate inner rectangle dimensions: length = page length - 2×1.52 \times 1.5, width = page width - 2×12 \times 1

  3. Step 3: Calculate perimeter = 2 × (length + width)