How scaling changes area

Answer Key - Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Bo's school garden plan says 1 square cm stands for 9 square meters. The flower beds cover 8 square cm on the plan. How many square meters of real flower beds is that?

   72
2. 2.

   Esme's town map says 1 square cm stands for 100 square meters. The playground covers 6 square cm on the map. How many square meters is the real playground?

   600
3. 3.

   Jun's bedroom plan says 1 square inch stands for 4 square feet. The floor covers 30 square inches on the plan. How many square feet is the real floor?

   120
4. 4.

   Kira's classroom plan has the scale 1 cm : 2 m, desks and all. The room is 3 cm by 4 cm on the plan. How many square meters is the real room?

   48
5. 5.

   Luz draws the playground at the scale 1 cm : 5 m, with one wobbly swing. It is 2 cm by 5 cm on the map. How many square meters is the real playground?

   250
6. 6.

   Noah's garden plan has the scale 1 cm : 3 m, and one proud sunflower. The garden is 3 cm by 2 cm on the plan. How many square meters is the real garden?

   54
7. 7.

   Side 1 | 3, area 1 | ? (the picture is not printed to size). Pia's quilt square B is a copy of square A, with every side 3 times as long. B covers how many times as much area as A?

   9
8. 8.

   Side 1 | 4, area 1 | ? (the picture is not printed to size). Ren enlarges a small square drawing A into a poster B, with every side 4 times as long. B covers how many times as much area as A?

   16
9. 9.

   Side 1 | 10, area 1 | ? (the picture is not printed to size). Zee blows a stamp-size picture A up to a giant poster B, with every side 10 times as long. B covers how many times as much area as A?

   100
10. 10.

    Bo's playground covers 300 square meters. The map has the scale 1 cm : 5 m, with one very wobbly swing. How many square cm does the playground cover on the map?

    12