๐ Grade 6๐ Measurement๐ฏ Perimeter and Area Relationship
Perimeter & Area Buddies ๐ – Grade 6 Measurement
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Perimeter measures:
Explanation:
Hello superstar! Perimeter is the total length around the outside. Area is the space inside. They are related but different! You are doing wonderfully!
Area measures:
Explanation:
Area tells how much surface a shape covers.
Two rectangles both have perimeter 20 m. Can they have different areas?
Explanation:
Different length and width can give same perimeter but different area.
A square with side 5 m has perimeter 20 m and area 25 mยฒ. If you make a rectangle 6 m by 4 m (same perimeter), its area is:
Explanation:
Same perimeter but smaller area (24 mยฒ).
For a fixed perimeter, which shape usually has the largest area?
Explanation:
Among rectangles and common shapes, more circle-like gives bigger area.
A rectangle has perimeter 24 m. If length is 9 m, what is the width and area?
Explanation:
Perimeter 2(L + W) = 24 โ L + W = 12. If L=9, W=3. Area=27 mยฒ.
Same area but different perimeters means:
Explanation:
Many shapes can cover the same area with different perimeters.
A square with perimeter 36 m has side length:
Explanation:
36 รท 4 = 9 m. Area = 81 m ยฒ.
Which has larger area for the same perimeter?
Explanation:
For a fixed perimeter, the square has the largest area among rectangles.
A rectangle 10 m by 5 m has perimeter 30 m and area 50 mยฒ. A square with same perimeter has:
Explanation:
Side 7.5 m, area 56.25 mยฒ > 50 m ยฒ.
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