Area and Perimeter (Advanced) — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A rug is 2 m long and 150 cm wide. In centimeters, the length is 200 cm.
1 meter equals 100 cm, so 2 m converts to 200 cm before solving.
2. Using cm, the rug measures 200 by 150, so its perimeter is 700 cm.
Perimeter equals 2(200+150) = 700 cm once both dimensions share the same unit.
3. The same rug has an area of 30000 square centimeters.
Area is 200 x 150 = 30,000 square cm; matching units is required for correct multiplication.
4. A garden bed is 3 m by 4 m. To compare with a 250 cm fence section, convert 3 m to 300 cm.
3 x 100 = 300 cm, showing the bed is wider than the 250 cm fence section.
5. A picture frame is 60 cm by 40 cm, so its perimeter is 200 cm.
2 x (60 + 40) equals 200 cm, the total length of the frame edge.
6. The frame's area in square centimeters is 2400 square cm.
Area equals length x width = 60 x 40 = 2,400 square centimeters.
7. If a tile is 1 m by 1 m, its area equals 10000 square centimeters.
100 x 100 = 10,000, showing 1 square meter equals 10,000 square cm.
8. A path is 5 m long and 50 cm wide. In meters, the width is 0.5 m.
50 divided by 100 equals 0.5 m, matching the length unit for easy work.
9. The path's area in square meters is 2.5 square meters.
Once both dimensions are in meters, 5 x 0.5 = 2.5 square meters of path.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Rug 2 m by 150 cm
→ Area 30,000 square cm
Area 30,000 square cm
Frame 60 cm by 40 cm
→ Area 2,400 square cm
Area 2,400 square cm
Garden 3 m by 4 m
→ Area 12 square m
Area 12 square m
Path 5 m by 50 cm
→ Area 2.5 square m
Area 2.5 square m
Converting units before multiplying gives correct rectangular dimensions and proper square-unit answers.