Chapter 11, Grandmother’s Quilt, introduces area (the surface covered by a shape) and perimeter (the distance around its boundary) using patchwork quilt pieces. These questions apply both ideas to simple rectangles and squares.
Practice Questions
Q1. A rectangular quilt patch measures 6 cm by 4 cm. Find its area.
Area = 6 × 4 = 24 sq cm.
Q2. Find the perimeter of the same 6 cm by 4 cm patch.
Perimeter = 2 × (6 + 4) = 20 cm.
Q3. A square patch has a side of 5 cm. Find its area and perimeter.
Area = 5 × 5 = 25 sq cm; perimeter = 4 × 5 = 20 cm.
Q4. Two rectangular patches, each 8 cm by 3 cm, are stitched together along one 3 cm side to form a longer rectangle. Find the new area and perimeter.
The combined patch is 16 cm by 3 cm: area = 16 × 3 = 48 sq cm (matching the sum of the two original areas, 24 + 24); perimeter = 2 × (16 + 3) = 38 cm.
Q5. A quilt border needs thread to go all the way around a patch measuring 10 cm by 7 cm. How much thread (perimeter) is needed?
Perimeter = 2 × (10 + 7) = 34 cm.
Why These Help
Area and perimeter decide how much fabric, paint or fencing a real job needs, and quilting is a natural, hands-on way to see that joining shapes changes perimeter differently from how it changes area.
Frequently Asked Questions
Q. What’s the difference between area and perimeter?
Area measures the surface covered inside a shape, in square units, while perimeter measures the total distance around its boundary, in linear units.
See the Chapter 11 Solutions and Revision Notes for the full walkthrough.
