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.

   Ari's park map says 1 square cm stands for 25 square meters. The duck pond covers 3 square cm on the map. How many square meters is the real pond?

   75
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.

   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
4. 4.

   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
5. 5.

   Milo's bedroom plan has the scale 1 inch : 2 feet. The floor is 4 inches by 5 inches on the plan. How many square feet is the real floor?

   80
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 | 5, area 1 | ? (the picture is not printed to size). Tala builds a bigger model window B from square window A, with every side 5 times as long. B covers how many times as much area as A?

   25
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.

    Esme's classroom covers 40 square meters. The plan has the scale 1 cm : 2 m. How many square cm does the classroom cover on the plan?

    10