Question 5 of 14intermediate🔍 AnalyzeShort Answer2 marks

Consider a rectangle and a parallelogram of the same sidelengths: 5 cm and 4 cm. Which has the greater area?

Correct Answer

Given: Rectangle and parallelogram with side lengths 5 cm and 4 cm.

Step 1: Rectangle area = 5×45 \times 4 = 20 cm².

Step 2: For parallelogram, Area = base × height.

Step 3: Height is the perpendicular distance, which is less than the slant side of 4 cm.

Step 4: Parallelogram area < 5×45 \times 4 = 20 cm².

Answer: The rectangle has the greater area.

Exercise: Figure it Out (Section 4) | Q: 4 | (Page Page 16)
For More Understanding

Explanation

The chapter explains that for a parallelogram, the height is the perpendicular distance between parallel sides, which is always less than or equal to the slant side. A rectangle is a special parallelogram where height equals the side length, giving maximum area.

Solution Steps

  1. Step 1: Rectangle area = 5×45 \times 4 = 20 cm².

  2. Step 2: For parallelogram, Area = base × height.

  3. Step 3: Height is perpendicular distance, which is less than the slant side of 4 cm.

  4. Step 4: Therefore, parallelogram area < 5×45 \times 4 = 20 cm².

  5. Step 5: Rectangle has greater area.

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