How scaling changes area
Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
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?
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?
Scale 1 cm : 3 m. Table (drawing area, square cm | real area, square meters): scale row 1 | 9, then row 8 | ?, with the arrow × 8 beside both columns. Scale 1 cm : 3 m. Table (drawing area, square cm | real area, square meters): scale row 1 | 9, then row 8 | ?, with the arrow × 8 beside both columns. Scale 1 cm : 3 m drawing area, square cm real area, square meters scale row 1 9 8 ? arrow × 8 arrow × 8 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?
Scale 1 cm : 10 m. Table (drawing area, square cm | real area, square meters): scale row 1 | 100, then row 6 | ?, with the arrow × 6 beside both columns. Scale 1 cm : 10 m. Table (drawing area, square cm | real area, square meters): scale row 1 | 100, then row 6 | ?, with the arrow × 6 beside both columns. Scale 1 cm : 10 m drawing area, square cm real area, square meters scale row 1 100 6 ? times 6 arrow × 6 beside both columns 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?
Plan, scale 1 cm : 5 m: a rectangle 2 cm by 5 cm, both sides labeled (the picture is not printed to size). Plan, scale 1 cm : 5 m: a rectangle 2 cm by 5 cm, both sides labeled (the picture is not printed to size). 2 cm 5 cm Scale 1 cm : 5 m Not to scale 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?
Plan, scale 1 inch : 2 feet: a rectangle 4 inches by 5 inches, both sides labeled (the picture is not printed to size). Plan, scale 1 inch : 2 feet: a rectangle 4 inches by 5 inches, both sides labeled (the picture is not printed to size). 4 inches 5 inches Scale 1 inch : 2 feet Not to scale 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?
Plan, scale 1 cm : 3 m: a rectangle 3 cm by 2 cm, both sides labeled (the picture is not printed to size). Plan, scale 1 cm : 3 m: a rectangle 3 cm by 2 cm, both sides labeled (the picture is not printed to size). 3 cm 2 cm Scale 1 cm : 3 m Not to scale 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?
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?
Ari's garden covers 72 square meters. The garden plan has the scale 1 cm : 3 m. How many square cm does the garden cover on the plan?
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?

