Question 8 of 9intermediate🔧 ApplyShort Answer2 marks

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Correct Answer

The dimensions of the garden are Length = 20 m and Width = 16 m.

Exercise: EXERCISE 3.1 | Q: 5 | (Chapter: Page 6)
For More Understanding

Explanation

This question from Exercise 3.2 requires students to form a linear equation from the given word problem. Students need to identify that half the perimeter equals length plus width, and use the relationship between length and width to solve for both dimensions.

Solution Steps

  1. Step 1: Let the width of the garden = x m. Then length = (x + 4) m.

  2. Step 2: Half the perimeter of rectangle = length + width = x + (x + 4) = 2x + 4.

  3. Step 3: Given half the perimeter = 36 m, so 2x + 4 = 36.

  4. Step 4: Solving: 2x = 32, therefore x = 16.

  5. Step 5: Width = 16 m, Length = 16 + 4 = 20 m.

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