How scaling changes area
Grade 7 Math Worksheet
Circle the best answer, or write your answer on the line.
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?
Noah's library plan has the scale 4 cm : 10 m. The reading room is 3 cm by 2 cm on the plan, with one sleepy beanbag. How many square meters is the real room?
Pia's art room covers 175 square meters. The plan has the scale 2 cm : 5 m. How many square cm does the art room cover on the plan?
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?
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?
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?
Side 1 | ?, area 1 | 9 (the picture is not printed to size). Esme cuts a small sail A and a bigger sail B, similar triangles. B covers 9 times as much area as A. What is the scale factor from A to B?
Side 1 | ?, area 1 | 16 (the picture is not printed to size). Jun builds a small kite A and a bigger kite B, similar shapes. B covers 16 times as much area as A. What is the scale factor from A to B?
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?
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?