Worksheet

How scaling changes area

Grade 7 Math Worksheet

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

  1. Kira draws the school hall on a plan at the scale 2 cm : 5 m. The hall is 4 cm by 6 cm on the plan. How many square meters is the real hall?

  2. Milo plans a camping tent pad at the scale 5 cm : 2 m. The pad is 10 cm by 20 cm on the plan. How many square meters is the real pad?

  3. Ren's garden covers 45 square meters. The plan has the scale 2 cm : 3 m. How many square cm does the garden cover on the plan?

  4. Tala's tiny house covers 20 square meters. The plan has the scale 5 cm : 2 m. How many square cm does the house cover on the plan?

  5. Side 1 | 1.5, area 1 | ? (the picture is not printed to size). Zee builds model window B as a copy of window A, with every side 1.5 times as long. B covers how many times as much area as A?

  6. Side 1 | 2.5, area 1 | ? (the picture is not printed to size). Ari's tabletop B is a copy of tabletop A, with every side 2.5 times as long. B covers how many times as much area as A?

  7. Side 1 | 0.4, area 1 | ? (the picture is not printed to size). Bo shrinks poster A onto a flyer B, with every side 0.4 times as long. B covers how many times as much area as A?

  8. Side 1 | 3, area 60 | ? (the picture is not printed to size). Luz prints a flyer (A) and a bigger poster (B), similar rectangles. A covers 60 square inches, and the scale factor from A to B is 3. How many square inches does B cover?

  9. Side 1 | 2.5, area 48 | ? (the picture is not printed to size). Milo builds a model window (A) and a bigger window (B), similar rectangles. A covers 48 square inches, and the scale factor from A to B is 2.5. How many square inches does B cover?

  10. Side 1 | 1.5, area 40 | ? (the picture is not printed to size). Noah sews a doll quilt (A) and a bigger quilt (B), similar rectangles. A covers 40 square inches, and the scale factor from A to B is 1.5. How many square inches does B cover?

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How scaling changes area

Answer Key - Grade 7 Math Worksheet

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

  1. Kira draws the school hall on a plan at the scale 2 cm : 5 m. The hall is 4 cm by 6 cm on the plan. How many square meters is the real hall?

    150

  2. Milo plans a camping tent pad at the scale 5 cm : 2 m. The pad is 10 cm by 20 cm on the plan. How many square meters is the real pad?

    32

  3. Ren's garden covers 45 square meters. The plan has the scale 2 cm : 3 m. How many square cm does the garden cover on the plan?

    20

  4. Tala's tiny house covers 20 square meters. The plan has the scale 5 cm : 2 m. How many square cm does the house cover on the plan?

    125

  5. Side 1 | 1.5, area 1 | ? (the picture is not printed to size). Zee builds model window B as a copy of window A, with every side 1.5 times as long. B covers how many times as much area as A?

    2.25

  6. Side 1 | 2.5, area 1 | ? (the picture is not printed to size). Ari's tabletop B is a copy of tabletop A, with every side 2.5 times as long. B covers how many times as much area as A?

    6.25

  7. Side 1 | 0.4, area 1 | ? (the picture is not printed to size). Bo shrinks poster A onto a flyer B, with every side 0.4 times as long. B covers how many times as much area as A?

    0.16

  8. Side 1 | 3, area 60 | ? (the picture is not printed to size). Luz prints a flyer (A) and a bigger poster (B), similar rectangles. A covers 60 square inches, and the scale factor from A to B is 3. How many square inches does B cover?

    540

  9. Side 1 | 2.5, area 48 | ? (the picture is not printed to size). Milo builds a model window (A) and a bigger window (B), similar rectangles. A covers 48 square inches, and the scale factor from A to B is 2.5. How many square inches does B cover?

    300

  10. Side 1 | 1.5, area 40 | ? (the picture is not printed to size). Noah sews a doll quilt (A) and a bigger quilt (B), similar rectangles. A covers 40 square inches, and the scale factor from A to B is 1.5. How many square inches does B cover?

    90